This quiz works best with JavaScript enabled. Home > Cbse > Class 12 > Science > Mathematics > Class 12 Mathematics Chapter 10 Vector Algebra – Quiz 4 🏠 Homepage 📘 Download PDF Books 📕 Premium PDF Books Class 12 Mathematics Chapter 10 Vector Algebra Quiz 4 (40 MCQs) Quiz Instructions Select an option to see the correct answer instantly. 1. If vector a= (4, -5) and vector b= (-7, 4) Find a+b A) (3, 9). B) (-3, -1). C) (11, 1). D) (-3, -9). Show Answer Correct Answer: B) (-3, -1). 2. What is the angle between two orthogonal vectors? A) 60 degree. B) 45 degree. C) 90 degree. D) 180 degree. Show Answer Correct Answer: C) 90 degree. 3. Vector is a quantity with: A) Magnitude and direction. B) Magnitude. C) Direction. D) None of the above. Show Answer Correct Answer: A) Magnitude and direction. 4. Compute:<2, 5> x <9, 8> A) $-29$. B) -29 Mathematical EquivalenceON. C) All the above. D) None of the above. Show Answer Correct Answer: A) $-29$. 5. The vector-4i + 6j-8k and 4i-6j + 8k are in same direction A) True. B) False. C) All the above. D) None of the above. Show Answer Correct Answer: B) False. 6. Find the magnitude of the vector <10, -8> A) 6. B) 12.81. C) 2. D) 18. Show Answer Correct Answer: B) 12.81. 7. What is the cross product of two vectors? A) The cross product of two vectors is a vector that is perpendicular to both of the original vectors. B) The cross product of two vectors is equal to the dot product of the vectors. C) The cross product of two vectors is always in the same direction as the original vectors. D) The cross product of two vectors is a scalar quantity. Show Answer Correct Answer: A) The cross product of two vectors is a vector that is perpendicular to both of the original vectors. 8. Sea $\vec v=\langle-4, -3\rangle$ A) $7$. B) $5$. C) $\sqrt{7}$. D) $12$. Show Answer Correct Answer: B) $5$. 9. $[A\times(B\times C)+C\times(A\times B)+(B\times(C\times A)]=?$ A) 0. B) 0.5. C) $\infty$. D) 1. Show Answer Correct Answer: A) 0. 10. What is the angle between two vectors if their scalar product is negative? A) Between 90$^\circ$ and 180$^\circ$. B) 180$^\circ$. C) 90$^\circ$. D) 0$^\circ$. Show Answer Correct Answer: A) Between 90$^\circ$ and 180$^\circ$. 11. Additive identity of a is A) 1. B) 2. C) 0. D) None of the above. Show Answer Correct Answer: C) 0. 12. What is the angle between two vectors if their scalar product is zero? A) 0 degrees. B) 180 degrees. C) 90 degrees. D) 270 degrees. Show Answer Correct Answer: C) 90 degrees. 13. What is the resultant vector? A) A vector sum of two or more vectors. B) A vector when the magnitude of the vector is zero. C) A vector which has a magnitude of unit length. D) None of the above. Show Answer Correct Answer: A) A vector sum of two or more vectors. 14. Example for dia-magnetic materials A) Alkali metals. B) Transition metals. C) Super conductors. D) Ferrites. Show Answer Correct Answer: C) Super conductors. 15. If $\overrightarrow{OX}=a+2b$ $\overrightarrow{XY}=a-b$ $\overrightarrow{OY}$ A) 3b. B) 2a+b. C) 2a+3b. D) B. Show Answer Correct Answer: B) 2a+b. 16. Scalar quantities always includes vector also. True or false A) True. B) Falce. C) All the above. D) None of the above. Show Answer Correct Answer: B) Falce. 17. Expression for J$_{b }$is? A) $\nabla^2$. B) $\nabla M$. C) $\nabla\times M$. D) $\nabla.M$. Show Answer Correct Answer: C) $\nabla\times M$. 18. What is the magnitude of the of the unit vector in the direction of the vector 2i + j + 2k A) 9. B) 3. C) 1. D) None of the above. Show Answer Correct Answer: C) 1. 19. The net magnetic flux through any closed surface, kept in a magnetic field is A) $\mu_0$ $\pi$. B) 4 $\pi\mu_0$. C) 4 $\mu_0$ $\pi$. D) Zero. Show Answer Correct Answer: D) Zero. 20. What is the term for the cosine values of the angles made by a vector with the coordinate axes? A) Magnitude. B) Scalar Components. C) Direction Cosines. D) Direction Ratios. Show Answer Correct Answer: C) Direction Cosines. 21. What is the sum of squares of the direction cosines A) 1. B) R$^{2}$. C) 0. D) None of the above. Show Answer Correct Answer: A) 1. 22. Above Curie Temperature a Ferromagnet becomes A) Can't be predicted. B) Paramagnetic. C) Diamagnetic. D) Either dia or Para magnetic. Show Answer Correct Answer: B) Paramagnetic. 23. What is the result of adding two vectors? A) The result of adding two vectors is a division. B) The result of adding two vectors is a scalar. C) The result of adding two vectors is a new vector with x-component as the sum of the x-components of the two vectors, and y-component as the sum of the y-components of the two vectors. D) The result of adding two vectors is a matrix. Show Answer Correct Answer: C) The result of adding two vectors is a new vector with x-component as the sum of the x-components of the two vectors, and y-component as the sum of the y-components of the two vectors. 24. For a diamagnetic media, the value of $\chi_m$ A) +ve. B) -ve. C) Zero. D) Unity. Show Answer Correct Answer: B) -ve. 25. If two non-zero vectors' cross product is zero, then the vectors are: A) Have the same ending point. B) Originate at one point. C) Equal vectors. D) Coplanar. Show Answer Correct Answer: D) Coplanar. 26. A vector whose magnitude is one is called by A) Equal vector. B) Initial vector. C) Unit vector. D) Null vector. Show Answer Correct Answer: C) Unit vector. 27. Si un vector se encuentra en el eje $y$ $90^\circ$ A) Verdadero. B) Falso. C) All the above. D) None of the above. Show Answer Correct Answer: A) Verdadero. 28. $\cos\left(\alpha+\beta\right)=$ A) $\sin\alpha\cos\beta-\cos\alpha\sin\beta$. B) $\sin\alpha\cos\beta+\cos\alpha\sin\beta$. C) $\cos\alpha\cos\beta-\sin\alpha\sin\beta$. D) $\cos\alpha\cos\beta+\sin\alpha\sin\beta$. Show Answer Correct Answer: C) $\cos\alpha\cos\beta-\sin\alpha\sin\beta$. 29. Find the direction angle for the vector <5, -2> A) 291.80$^\circ$. B) 68.2$^\circ$. C) 21.80$^\circ$. D) 338.20$^\circ$. Show Answer Correct Answer: D) 338.20$^\circ$. 30. Can the resultant of 2 vectors be zero? A) Yes, when the 2 vectors are same in magnitude and direction. B) Yes, when the 2 vectors are same in magnitude but opposite in sense. C) No. D) None of the above. Show Answer Correct Answer: B) Yes, when the 2 vectors are same in magnitude but opposite in sense. 31. What operation you need to find an angle between two vectors? A) Dot product between the two vectors. B) Dot product between the two vectors divide the magnitude of both vectors. C) Cosine inverse of dot product between the two vectors divide the magnitude of both vectors. D) Cross product between the two vectors. Show Answer Correct Answer: C) Cosine inverse of dot product between the two vectors divide the magnitude of both vectors. 32. The magnitude of vector $\overrightarrow{M}=3i-2j+7k$ A) 27.25$^\circ$. B) 7.87. C) 7. D) 62. Show Answer Correct Answer: B) 7.87. 33. The vectors 2i-3j + 4k and-2i + 3j-4k having same magnitude A) True. B) False. C) All the above. D) None of the above. Show Answer Correct Answer: A) True. 34. What type of quantity is produced by the dot product of two vectors? A) Scalar. B) Vector. C) All the above. D) None of the above. Show Answer Correct Answer: A) Scalar. 35. If vector u and vector v are parallel then the projection of u on v is A) 0. B) U. C) -1. D) V. Show Answer Correct Answer: B) U. 36. If number of elements in a matrix is 60 then how many dimensions of matrix are possible A) 12. B) 6. C) 24. D) None of these. Show Answer Correct Answer: A) 12. 37. Sea $\vec v=\langle 5, 5\rangle$ A) $60^\circ$. B) $90^\circ$. C) $30^\circ$. D) $45^\circ$. Show Answer Correct Answer: D) $45^\circ$. 38. Find the magnitude of the vector-5i + 12j A) 13. B) 17. C) 7. D) 10.91. Show Answer Correct Answer: A) 13. 39. If the line $\frac{x-2}{3}=\frac{y-1}{-5}=\frac{z+2}{2}$ $x+3y-\alpha z+\beta=0, $ $\left(\alpha, \beta\right)$ A) (-5, 5). B) (-6, 7). C) (5, -5). D) (7, -6). Show Answer Correct Answer: B) (-6, 7). 40. The Vectors 2i-3j + 4k and-4i + 6j-8k have same magnitude A) True. B) False. C) All the above. D) None of the above. Show Answer Correct Answer: B) False. ← PreviousRelated QuizzesScience QuizzesClass 12 QuizzesClass 12 Mathematics Chapter 10 Vector Algebra Quiz 1Class 12 Mathematics Chapter 10 Vector Algebra Quiz 2Class 12 Mathematics Chapter 10 Vector Algebra Quiz 3Class 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