[Free Practice Test] 30+ Most Important Previous Year Questions on Vector Product

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Hello aspirants welcome on 30+ Most Important Previous Year Questions on Vector Product Test Series.

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30+ Most Important Previous Year Questions on Vector Product

No. of Questions: 16   Date: January 22, 2026

1. 
The angle between the vectors $(-2\hat{i}+3\hat{j}+\hat{k})$ and $(\hat{i}+2\hat{k})-4\hat{k})$ is

2. 
When $\vec{A}.\vec{B}=-AB$, then

3. 
If $\vec{A}\times\vec{B}=\vec{B}\times\vec{A}$, then angle between A and B is

4. 
If $|\vec{A}\times\vec{B}|=|\vec{A}.\vec{B}|$, then angle between vector A and vector B will be

5. 

6. 
If $\vec{A}\times\vec{B}=\vec{C}$, then choose right option

  1. $\vec{A}\times\vec{B} \perp\vec{C}$ (always)
  2. $\vec{B} \perp \vec{C}$ (always)
  3. $\vec{A} \perp \vec{C}$ (always)
  4. $\vec{A}.\vec{B} \perp\vec{C}$ (always)

7. 
Two vectors $\vec{A}$ and $\vec{B}$ are at right angles to each other, when

8. 
If a vector $\vec{A}$ is parallel to another vector $\vec{B}$ then the resultant of the vector $\vec{A}\times\vec{B}$ will be equal to

9. 
Which of the following statement is wrong

  1. $\hat{i}.\hat{i}=0$
  2. $\hat{i} \times \hat{i}=\vec{0}$
  3. $\hat{i}.\hat{j}=\hat{k}$
  4. $\hat{i} \times \hat{j}=1$

10. 
If $\vec{a}\times\vec{b}=\sqrt{3}\vec{A}.\vec{B}$, then the value of $\vec{a}+\vec{b}|$ is

11. 
Dot product of two mutual perpendicular vector is

12. 
What is the value of linear velocity, if $\vec{ω}=3\hat{i}-4\hat{j}+\hat{k}$ and $\vec{r}=5\hat{i}-6\hat{j}+6\hat{k}$

13. 
Which of the following statement is wrong

14. 
Two vectors are perpendicular to each other if

15. 
The angle between the vectors $(\hat{i}+\hat{j})$ and $(\hat{j}+\hat{k})$ is

16. 
If $\vec{P}.\vec{Q}=PQ$, then angle between $\vec{P}$ and $\vec{Q}$ is

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