[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: April 23, 2026

1. 
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)

2. 
Which of the following statement is wrong

3. 

4. 
Two vectors $\vec{A}$ and $\vec{B}$ are at right angles to each other, when

5. 
Two vectors are perpendicular to each other if

6. 
Dot product of two mutual perpendicular vector is

7. 
What is the value of linear velocity, if $\vec{ω}=3\hat{i}-4\hat{j}+\hat{k}$ and $\vec{r}=5\hat{i}-6\hat{j}+6\hat{k}$

8. 
If $\vec{A}\times\vec{B}=\vec{B}\times\vec{A}$, then angle between A and B is

9. 
The angle between the vectors $(-2\hat{i}+3\hat{j}+\hat{k})$ and $(\hat{i}+2\hat{k})-4\hat{k})$ is

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

11. 
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. $\hat{i} \times \hat{j}=1$

12. 
The angle between the vectors $(\hat{i}+\hat{j})$ and $(\hat{j}+\hat{k})$ is

13. 
If $|\vec{A}\times\vec{B}|=|\vec{A}.\vec{B}|$, then angle between vector A and vector B will be

14. 
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

15. 
If $\vec{P}.\vec{Q}=PQ$, then angle between $\vec{P}$ and $\vec{Q}$ is

16. 
When $\vec{A}.\vec{B}=-AB$, then

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