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Class 12 Mathematics Chapter 10 Vector Algebra Quiz 3 (60 MCQs)

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1. Find the vector that starts at point (6, 2) and goes to point (3, -5).
2. If magnitude of a vector OP is 7 then what is the magnitude of 3(OP)
3. What is the vector main characteristic?
4. In a uniform B, the net force on a current loop is .....
5. When two vector are equal
6. A basketball player shoots a free throw with an initial velocity of 8.07 m/s at an angle of 49.6 degrees above the horizontal.Represent the vector of the ball's velocity in both Polar and Cartesian form and plot the cartesian vector of the ball's velocity.
7. A ferry departs from A(-25, 28). It takes 3 hours to reach its destination B(20, -32), travelling in as straight line with constant velocity. Distances are in km. Find the distance that the ferry travels.
8. The vector 2i-3j + 4k and-4i + 6j-8k having same directions
9. What is the position vector of the point (2, -7, -3).
10. Find the angle between vectors <1, 3> and <2, -5>.
11. What is the unit factor in the direction Z axis?
12. The following quantities are vector except
13. If the trace of a matrix A is 5 then the trace of 3A is
14. Dot product of the two vector is a real number
15. Which symbol is used to show vector quantities?
16. The dot and Cross Product are distributive when the vectors are
17. $Given\\overrightarrow{p}=i-7j+7k\\and\\\overrightarrow{q}=3i-2j+2k$ $\overrightarrow{p}\\times\\overrightarrow{q}$
18. The magnitude of 2 equal and opposite vectors are
19. Sea $\vec v=\langle-2, 5\rangle$
20. Find the direction angle for the vector <-8, 3>
21. Given w = 2i-8j and z =-i +10j, find 3v + w.
22. How is the direction of a vector specified?
23. Which law states that the sum of two vectors can be represented by the diagonal of a parallelogram?
24. What is the difference between a scalar and a vector?
25. For a diamagnetic substance Magnetization M is ..... to B?
26. Which of the below are vector quantity?
27. What is the term for the sum of two vectors?
28. What is a unit vector?
29. The cross product of two vectors A and B is another vector
30. What is the properties of null vector?
31. If vector u=(4, -2) and vector v=(6, 12), then the vectors are
32. How does a vector in one dimension look like?
33. True or False, Equal vectors have same magnitude but different direction.
34. The vectors $10i+8j$ $2i+7j$
35. What is the result of the cross product of two vectors a and b?
36. If A = diagonal (3, 3, 3) then A$^{4}$ =
37. The physical quantities that follow simple laws of algebra are called ..... physical quantities
38. Given the line L:r = a + tb, where a = i+2j+3k and b= 2i-3j + k
39. The number of all possible matrices of order 3X3 with each entry 0 or 1
40. If u = <-2, 0>, find 3u.
41. What is the direction cosines of a vector?
42. The physical quantities which have both magnitude and direction are called .....
43. What is the result of the scalar product of two vectors?
44. Let $\overrightarrow{u}=\left(5, 2\right)$ $\overrightarrow{v}=\left(1, -1\right)$ $\overrightarrow{u}+\overrightarrow{v}$
45. $-\vec a$ $\vec a$
46. Is AB a unit vector?AB = < 1, .5, .5>
47. Find the direction angle for the vector <2, 7>
48. What is the result of the vector product of two parallel vectors?
49. If A, B are symmetric matrices of same order then AB-BA is a
50. Curl of Gradient of a Vector function is
51. What is the dot product of two vectors?
52. M[-3 4] +n[4-3]=[10-11] then 3m+7n=
53. Given points A(3, 2, -4) and B(2, 1, -1), so the vector AB is
54. The unit of Magnetization is
55. Given that a = ( 5, 4) and b = (3, 2) then a + b is
56. Sea $\vec v=\langle 5, 0\rangle$
57. If two collinear vectors have the same magnitude they are equal
58. How are vector A and vector-2A different?
59. Which of the following represents a unit vector?
60. Which of the following is true about the magnitude of a vector?
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