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Class 12 Mathematics Chapter 10 Vector Algebra Quiz 5 (25 MCQs)

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1. If vector a= (4, -5) and vector b= (-7, 4) Find 2a-3b
2. The ..... of two or more vectors is the sum of the vectors.
3. The z-component of vector $\overrightarrow{M}=3i-2j+7k$
4. The Component of A in the direction of C, $\overrightarrow{A}=\overrightarrow{a_x}+2\\overrightarrow{a_y}-3\overrightarrow{a_z}$ $\overrightarrow{C}=5\overrightarrow{a_x}-2\\overrightarrow{a_z}$
5. A vector is a ray with both ..... and .....
6. Magnetic moment for solenoid and corresponding bar magnet is
7. Mass
8. If a and b be two unit vectors and B be the angle between them . Then a+b is unit vector if
9. What is the term for the vector that has the same magnitude as a given vector but opposite direction?
10. If y = <2, 0> and z = <-1, -4>, find 3y-2z
11. If the dot product of two vectors is equal to zero, then what do we know about the two vectors?
12. $\cdot$ $4i-3j+12k$
13. Typical size of magnetic domains ..... (mm).
14. If the trace of A is 20 and the trace of B is 15 then the trace of A-B is
15. Vector $\overrightarrow{C}=3\overrightarrow{a_x}+\overrightarrow{a_y}+\sqrt[]{2}\overrightarrow{a_z}$ $\overrightarrow{D}=6\sqrt[]{2}\overrightarrow{a_x}+4\sqrt[]{2}\overrightarrow{a_y}+4\overrightarrow{a_z}$
16. Given that a = (1, 3) then 3a is equal to
17. Vector a = <3, -4>. What is the value of 3a?
18. If A be a square matrix. then A+A$^{T}$ will be
19. "The integral of a Derivative of an interval is given by the value of the function at the end points" . The statement is
20. When will a.b =1 given a=1 and b=1?
21. A force in which the line integral over a closed path is zero is called .....
22. Find the dot product of <1, -2> and <3, 2>.
23. Find the values of x, y and z so that xi+yj+zk=5i+2j+3k
24. Find the vector that starts at point (6, 2) and goes to point (3, -5).
25. If magnitude of a vector OP is 7 then what is the magnitude of 3(OP)
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