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Class 12 Mathematics Chapter 10 Vector Algebra Quiz 8 (25 MCQs)

Quiz Instructions

Select an option to see the correct answer instantly.

1. What is the dot product of two vectors?

Correct Answer: C) The dot product of two vectors is a scalar value.

2. M[-3 4] +n[4-3]=[10-11] then 3m+7n=

Correct Answer: D) 1.

3. Given points A(3, 2, -4) and B(2, 1, -1), so the vector AB is

Correct Answer: D) -i-j +3k.

4. The unit of Magnetization is

Correct Answer: B) A/m.

5. Given that a = ( 5, 4) and b = (3, 2) then a + b is

Correct Answer: A) (8, 6).

6. Sea $\vec v=\langle 5, 0\rangle$

Correct Answer: A) $0^\circ$.

7. If two collinear vectors have the same magnitude they are equal

Correct Answer: B) False.

8. How are vector A and vector-2A different?

Correct Answer: C) Vector-2A is 2X as big and traveling in the opposite direction.

9. Which of the following represents a unit vector?

Correct Answer: C) Vector with magnitude 1.

10. Which of the following is true about the magnitude of a vector?

Correct Answer: B) It is always positive or zero.

11. If vector a= (4, -5) and vector b= (-7, 4) Find a+b

Correct Answer: B) (-3, -1).

12. What is the angle between two orthogonal vectors?

Correct Answer: B) 90 degree.

13. Vector is a quantity with:

Correct Answer: A) Magnitude and direction.

14. Compute:<2, 5> x <9, 8>

Correct Answer: A) $-29$.

15. The vector-4i + 6j-8k and 4i-6j + 8k are in same direction

Correct Answer: B) False.

16. Find the magnitude of the vector <10, -8>

Correct Answer: B) 12.81.

17. What is the cross product of two vectors?

Correct Answer: A) The cross product of two vectors is a vector that is perpendicular to both of the original vectors.

18. Sea $\vec v=\langle-4, -3\rangle$

Correct Answer: A) $5$.

19. $[A\times(B\times C)+C\times(A\times B)+(B\times(C\times A)]=?$

Correct Answer: A) 0.

20. What is the angle between two vectors if their scalar product is negative?

Correct Answer: A) Between 90$^\circ$ and 180$^\circ$.

21. $\nabla r^n$

Correct Answer: C) $nr^{\left(n-1\right)}$.

22. Additive identity of a is

Correct Answer: C) 0.

23. What is the angle between two vectors if their scalar product is zero?

Correct Answer: A) 90 degrees.

24. What is the resultant vector?

Correct Answer: A) A vector sum of two or more vectors.

25. Example for dia-magnetic materials

Correct Answer: A) Super conductors.

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