This quiz works best with JavaScript enabled. Home > Cbse > Class 12 > Science > Mathematics > Class 12 Mathematics Chapter 10 Vector Algebra – Quiz 2 🏠 Homepage 📘 Download PDF Books 📕 Premium PDF Books Class 12 Mathematics Chapter 10 Vector Algebra Quiz 2 (60 MCQs) Quiz Instructions Select an option to see the correct answer instantly. 1. For a linear homogeneous material J$_{b }$and J$_{f}$ are ..... A) Inversely proportional. B) Not same. C) Proportional. D) Same. Show Answer Correct Answer: C) Proportional. 2. Vector a = 2i + 3j-5k. What is the value of 3a? A) 6i + 6j-15k. B) 5i + 6j-8k. C) 6i + 9j-15k. D) 3i + 3j-3k. Show Answer Correct Answer: C) 6i + 9j-15k. 3. The distance between the planes $x+2y+3z+7=0\$ $2x+4y+6z+7=0$ A) $\frac{\sqrt{7}}{2\sqrt{2}}$. B) $\frac{7}{2\sqrt{2}}$. C) $\frac{\sqrt{7}}{2}$. D) $\frac{7}{2}$. Show Answer Correct Answer: A) $\frac{\sqrt{7}}{2\sqrt{2}}$. 4. Si $k<0$ $k\vec a$ $\vec a$ A) Verdadero. B) Falso. C) All the above. D) None of the above. Show Answer Correct Answer: A) Verdadero. 5. $\vec a-\vec b=\vec a+(-\vec b)$ A) Verdadero. B) Falso. C) All the above. D) None of the above. Show Answer Correct Answer: A) Verdadero. 6. $c\cos A+a\cos C=$ A) C. B) B. C) B. D) A. Show Answer Correct Answer: B) B. 7. Dot product of vector-i + 2j + k and 3i + k is A) 5. B) -1. C) 4. D) -2. Show Answer Correct Answer: D) -2. 8. If the matrix A is both symmetric and skew symmetric then A) A is a diagonal matrix. B) A is a zero matrix. C) A is a square matrix. D) None of these. Show Answer Correct Answer: B) A is a zero matrix. 9. Assertion:Number of vector which is perpendicular to the vector $\overleftarrow{i}$ $\overleftarrow{r}=\overleftarrow{k}\sin\theta+\overleftarrow{j}\cos\theta$ $\overleftarrow{i}$ $\theta$ A) Both assertion and reason are true and reason is correct explanation. B) Both assertion and reason are true and but reason is not correct explanation. C) Assertion true, reason false. D) Assertion false, reason true. Show Answer Correct Answer: A) Both assertion and reason are true and reason is correct explanation. 10. Sea $\vec v=\langle-3, 3\rangle$ A) $\sqrt{18}$. B) $3\sqrt{2}$. C) $3$. D) $6$. Show Answer Correct Answer: B) $3\sqrt{2}$. 11. Scalar product of two vectors are commutative or not A) Yes it is commutative. B) No it is not commutative. C) All the above. D) None of the above. Show Answer Correct Answer: A) Yes it is commutative. 12. If 2i + 3j + 4k = xi-yj-zk then the value of x+y+z+xyz A) 33. B) 19. C) 29. D) None of yhe above. Show Answer Correct Answer: B) 19. 13. Sea $\vec v=\langle 3, 4\rangle$ A) $5$. B) $7$. C) $\sqrt{7}$. D) $25$. Show Answer Correct Answer: A) $5$. 14. The scalar product of u and v is zero, therefore ..... A) Vectors u and v are parallel. B) Vectors u and v are perpendicular. C) Vectors u and v are equal. D) Vectors u and v are multiples. Show Answer Correct Answer: B) Vectors u and v are perpendicular. 15. A(1, 1, 3) and B( 0, 2, 8) find position vector AB A) 1-1-5. B) -115. C) All the above. D) None of the above. Show Answer Correct Answer: B) -115. 16. Matrix A has x rows and x+5 columns, matrix B has y rows and 11-y columns. Both AB and BA exist then A) X = 3, y = 8. B) X = 4, y = 3. C) X = 3, y = 4. D) X = 8, y = 3. Show Answer Correct Answer: A) X = 3, y = 8. 17. How is a vector represented? A) By a collection of musical notes. B) By a series of emojis. C) By a random assortment of letters. D) By an ordered list of numbers. Show Answer Correct Answer: D) By an ordered list of numbers. 18. The unit of Charge is Coulomb. Coulomb is a ..... quantity A) Vector. B) Scalar. C) All the above. D) None of the above. Show Answer Correct Answer: B) Scalar. 19. Select the most appropriate response; Inverse vectors A) Have same magnitude and direction. B) Have same magnitude but different direction. C) Have different magnitude but same direction. D) Have different magnitude and direction. Show Answer Correct Answer: B) Have same magnitude but different direction. 20. Basic Source of magnetism is ..... A) Magnetic dipoles. B) Magnetic domains. C) Movement of charged particles. D) Charged particles alone. Show Answer Correct Answer: C) Movement of charged particles. 21. Parallel vectors have same direction A) False. B) True. C) Can't be determined. D) None of these. Show Answer Correct Answer: A) False. 22. The sum of A=2, 1, 0 + B=0, 1, 2 is: A) 3, 2, 1. B) 1, 2, 3. C) 0, 0, 0. D) 2, 2, 2. Show Answer Correct Answer: D) 2, 2, 2. 23. If two vectors are perpendicular then what is the value of the dot product of them A) 0. B) 1. C) All the above. D) None of the above. Show Answer Correct Answer: A) 0. 24. If A and B are two matrices such that AB=B and BA=A then A$^{2}$+B$^{2}$=$^{ }$ A) A+B. B) 2BA. C) AB. D) 2 AB. Show Answer Correct Answer: A) A+B. 25. Find the magnitude of vector AB if the initial point is (-3, 1) and the terminal point is (3, 9). A) 10.4. B) 6. C) 8.2. D) 10. Show Answer Correct Answer: D) 10. 26. The vector 2 i + $\alpha$ j + k is perpendicular to the vector 2 i-j-k if A) $\alpha$ = 5. B) $\alpha$ =-5. C) $\alpha$ =-3. D) $\alpha$ = 3. Show Answer Correct Answer: D) $\alpha$ = 3. 27. Is the outcome of cross product a scalar or vector? A) Scalar. B) Vector. C) All the above. D) None of the above. Show Answer Correct Answer: B) Vector. 28. Given the vector v = 3i-2j +6 k, the magnitude of v is: A) 49. B) 6. C) 36. D) 7. Show Answer Correct Answer: D) 7. 29. What is the term for two or more vectors that have the same initial point? A) Collinear Vectors. B) Equal Vectors. C) Free Vectors. D) Coinitial Vectors. Show Answer Correct Answer: D) Coinitial Vectors. 30. What is a vector?-a quuantity with A) Direction. B) Magnitude. C) Direction and magnitude. D) None of the above. Show Answer Correct Answer: C) Direction and magnitude. 31. If two vectors have opposite directions and different magnitude, they are said to be ..... vectors A) Negative. B) Unlike. C) Equal. D) Like. Show Answer Correct Answer: B) Unlike. 32. Vector AB = vector BA A) True. B) False. C) All the above. D) None of the above. Show Answer Correct Answer: B) False. 33. Given b = <4, -1>, find-2b A) <-2, 8>. B) <-8, 2>. C) <8, -2>. D) <-1, 4>. Show Answer Correct Answer: B) <-8, 2>. 34. A.b=-|a||b|What is the angle between a and b A) 45 degree. B) 180 degree. C) 90 degree. D) 360 degree. Show Answer Correct Answer: B) 180 degree. 35. A vector with initial and terminal point same is called ..... A) Zero vector. B) Position vector. C) Collinear vector. D) None of the above. Show Answer Correct Answer: A) Zero vector. 36. The origin of field H is ..... A) Jf. B) J$_{b}$. C) Both Jb and Jf. D) None of these. Show Answer Correct Answer: A) Jf. 37. Dot Product of the vectors i-2j + 3k and 3i-2j + k is A) 10. B) 8. C) -2. D) 2. Show Answer Correct Answer: A) 10. 38. If vector a= (4, -5) and vector b= (-7, 4) Find 2a-3b A) (29, -22). B) (29, -2). C) (1, 7). D) (13, -2). Show Answer Correct Answer: A) (29, -22). 39. The ..... of two or more vectors is the sum of the vectors. A) Scalar. B) Magnitude. C) Resultant. D) Components. Show Answer Correct Answer: C) Resultant. 40. The z-component of vector $\overrightarrow{M}=3i-2j+7k$ A) 3. B) 7. C) -2. D) 27.25$^\circ$. Show Answer Correct Answer: B) 7. 41. The Component of A in the direction of C, $\overrightarrow{A}=\overrightarrow{a_x}+2\\overrightarrow{a_y}-3\overrightarrow{a_z}$ $\overrightarrow{C}=5\overrightarrow{a_x}-2\\overrightarrow{a_z}$ A) 11. B) 1. C) 0. D) 22. Show Answer Correct Answer: A) 11. 42. A vector is a ray with both ..... and ..... A) Wings and halos. B) Space and time. C) Direction and magnitude. D) Radicals and exponents. Show Answer Correct Answer: C) Direction and magnitude. 43. Magnetic moment for solenoid and corresponding bar magnet is A) Equal for both. B) More for solenoid. C) More for bar magnet. D) None of these. Show Answer Correct Answer: A) Equal for both. 44. If a and b be two unit vectors and B be the angle between them . Then a+b is unit vector if A) B=40 degree. B) B= 120 degree. C) B=180 degree. D) B=90 degree. Show Answer Correct Answer: B) B= 120 degree. 45. What is the term for the vector that has the same magnitude as a given vector but opposite direction? A) Unit Vector. B) Zero Vector. C) Negative Vector. D) Position Vector. Show Answer Correct Answer: C) Negative Vector. 46. If y = <2, 0> and z = <-1, -4>, find 3y-2z A) <4, 8>. B) <-8, -8>. C) <8, 8>. D) <5, -8>. Show Answer Correct Answer: C) <8, 8>. 47. If the dot product of two vectors is equal to zero, then what do we know about the two vectors? A) They are parallel. B) They are orthogonal. C) They are neither. D) None of the above. Show Answer Correct Answer: B) They are orthogonal. 48. $\cdot$ $4i-3j+12k$ A) $\frac{23}{17}$. B) $\frac{23}{169}$. C) $\frac{23}{\sqrt{17}}$. D) $\frac{23}{13}$. Show Answer Correct Answer: D) $\frac{23}{13}$. 49. Typical size of magnetic domains ..... (mm). A) 0.05. B) 0.001. C) 1-10. D) 0.1-1. Show Answer Correct Answer: A) 0.05. 50. If the trace of A is 20 and the trace of B is 15 then the trace of A-B is A) 35. B) 15. C) 25. D) 5. Show Answer Correct Answer: D) 5. 51. Vector $\overrightarrow{C}=3\overrightarrow{a_x}+\overrightarrow{a_y}+\sqrt[]{2}\overrightarrow{a_z}$ $\overrightarrow{D}=6\sqrt[]{2}\overrightarrow{a_x}+4\sqrt[]{2}\overrightarrow{a_y}+4\overrightarrow{a_z}$ A) Parallel. B) Perpendicular. C) At an angle 42$^\circ$. D) Unrelated. Show Answer Correct Answer: A) Parallel. 52. Given that a = (1, 3) then 3a is equal to A) (1, 9). B) (3, 3). C) (3, 9). D) None of the above. Show Answer Correct Answer: C) (3, 9). 53. (A$^{'}$)$^{'}$ = A) A$^{'}$. B) A. C) I. D) O. Show Answer Correct Answer: B) A. 54. Vector a = <3, -4>. What is the value of 3a? A) <-6, 1>. B) <9, -12>. C) <9, 12>. D) <6, -1>. Show Answer Correct Answer: B) <9, -12>. 55. If A be a square matrix. then A+A$^{T}$ will be A) Diagonal matrix. B) Skew symmetric matrix. C) The identity matrix. D) Symmetric matrix. Show Answer Correct Answer: D) Symmetric matrix. 56. "The integral of a Derivative of an interval is given by the value of the function at the end points" . The statement is A) True. B) False. C) Either true or false. D) Can't be predicted. Show Answer Correct Answer: A) True. 57. When will a.b =1 given a=1 and b=1? A) Angle is 0. B) Angle is 90. C) Angle is 45. D) None of the above. Show Answer Correct Answer: A) Angle is 0. 58. A force in which the line integral over a closed path is zero is called ..... A) Weak Force. B) Strong force. C) Non Conservative Force. D) Conservative Force. Show Answer Correct Answer: D) Conservative Force. 59. Find the dot product of <1, -2> and <3, 2>. A) <3, -4>. B) <4, 0>. C) -1. D) 1. Show Answer Correct Answer: C) -1. 60. Find the values of x, y and z so that xi+yj+zk=5i+2j+3k A) 5, 2, 3. B) 2, 5, 3. C) 3, 5, 2. D) None of the above. Show Answer Correct Answer: A) 5, 2, 3. ← PreviousNext →Related QuizzesScience QuizzesClass 12 QuizzesClass 12 Mathematics Chapter 10 Vector Algebra Quiz 1Class 12 Mathematics Chapter 10 Vector Algebra Quiz 3Class 12 Mathematics Chapter 10 Vector Algebra Quiz 4Class 12 Mathematics Chapter 1 Relations And Functions QuizClass 12 Mathematics Chapter 11 Three Dimensional Geometry QuizClass 12 Mathematics Chapter 12 Linear Programming QuizClass 12 Mathematics Chapter 13 Probability QuizClass 12 Mathematics Chapter 2 Inverse Trigonometric Functions Quiz 🏠 Back to Homepage 📘 Download PDF Books 📕 Premium PDF Books