“Vectors MCQs for JEE Advanced & NEET PYQs | Practice 20+ Solved Questions”

“Vectors MCQs for JEE Advanced & NEET PYQs | Practice 20+ Solved Questions” 

Vectors are one of the most important topics in JEE Advanced, JEE Main, and NEET exams, frequently appearing in Physics and Mathematics sections. Mastering vector concepts such as addition, dot product, cross product, and applications in mechanics is crucial for scoring high in competitive exams. This article on MCQJourney.com provides a curated set of 20+ solved vector MCQs with answers, designed from previous year questions (PYQs) of JEE and NEET. Each question is explained in a simple, exam‑oriented manner to help students strengthen their fundamentals and improve problem‑solving speed. Whether you are revising for JEE Advanced, preparing for NEET Physics, or brushing up on vector algebra for JEE Main, these MCQs will give you the edge in your preparation. Practice these questions regularly to boost confidence and accuracy. Stay tuned with MCQ Journey for more GK, Current Affairs, and Exam MCQs tailored for aspirants.

✍️ MCQs with Answers (Vectors – JEE/NEET)

Q1. If $\vec{A}=3\widehat{i}+4\widehat{j}$ and $\vec{B}=4\widehat{i}-3\widehat{j}$, then $\vec{A}\cdot \vec{B}$ =

• (A) 0

• (B) 25

• (C) -25

• (D) 12 

• Answer: (A) 0

Q2. The magnitude of vector $\vec{A}=6\widehat{i}-8\widehat{j}$ is:

• (A) 10

• (B) 12

• (C) 14

• (D) 8 

• Answer: (A) 10

Q3. If two vectors are perpendicular, their dot product is:

• (A) Maximum

• (B) Minimum

• (C) Zero

• (D) Undefined 

• Answer: (C) Zero

Q4. The cross product of two parallel vectors is:

• (A) Zero

• (B) Maximum

• (C) Minimum

• (D) Undefined 

• Answer: (A) Zero

Q5. If $\mathrm{\mid }\vec{A}\mathrm{\mid }=5$, $\mathrm{\mid }\vec{B}\mathrm{\mid }=12$, and angle between them is 90°, then $\mathrm{\mid }\vec{A}\times \vec{B}\mathrm{\mid }$ =

• (A) 60

• (B) 65

• (C) 70

• (D) 75 

• Answer: (A) 60

Q6. The unit vector along $\vec{A}=2\widehat{i}+3\widehat{j}$ is:

• (A) $\frac{2}{\sqrt{13}}\widehat{i}+\frac{3}{\sqrt{13}}\widehat{j}$

• (B) $\frac{3}{\sqrt{13}}\widehat{i}+\frac{2}{\sqrt{13}}\widehat{j}$

• (C) $\frac{2}{5}\widehat{i}+\frac{3}{5}\widehat{j}$

• (D) None

•   Answer: (A)

Q7. If $\vec{A}\cdot \vec{B}=0$, then vectors are:

• (A) Parallel

• (B) Perpendicular

• (C) Equal

• (D) None 

• Answer: (B) Perpendicular

Q8. The angle between $\widehat{i}+\widehat{j}$ and $\widehat{i}-\widehat{j}$ is:

• (A) 30°

• (B) 45°

• (C) 60°

• (D) 90° 

• Answer: (D) 90°

Q9. The scalar triple product $\vec{A}\cdot (\vec{B}\times \vec{C})$ represents:

• (A) Area

• (B) Volume

• (C) Angle

• (D) None 

• Answer: (B) Volume

Q10. If $\vec{A}=\widehat{i}+2\widehat{j}$, $\vec{B}=2\widehat{i}+\widehat{j}$, then $\vec{A}\times \vec{B}$ =

• (A) $\widehat{k}$

• (B) $-3\widehat{k}$

• (C) $3\widehat{k}$

• (D) None

• Answer: (C) $3\widehat{k}$

Q11. The projection of vector $\vec{A}$ on $\vec{B}$ is:

• (A) $\frac{\vec{A}\cdot \vec{B}}{\mathrm{\mid }\vec{B}\mathrm{\mid }}$

• (B) $\mathrm{\mid }\vec{A}\mathrm{\mid }\mathrm{\mid }\vec{B}\mathrm{\mid }$

• (C) $\vec{A}\times \vec{B}$

• (D) None

• Answer: (A)

Q12. If $\vec{A}=\widehat{i}+\widehat{j}+\widehat{k}$, then its magnitude is:

• (A) 2

• (B) $\sqrt{3}$

• (C) 3

• (D) None 

• Answer: (B) $\sqrt{3}$

Q13. The angle between two identical unit vectors is:

• (A) 0°

• (B) 90°

• (C) 180°

• (D) None 

• Answer: (A) 0°

Q14. The vector product of $\widehat{i}$ and $\widehat{j}$ is:

• (A) 0

• (B) $-\widehat{k}$

• (C) $\widehat{k}$

• (D) None 

• Answer: (C) $\widehat{k}$

Q15. If $\vec{A}=2\widehat{i}+2\widehat{j}$, then the direction cosines are:

• (A) $\frac{1}{2},\frac{1}{2},0$

• (B) $\frac{1}{\sqrt{2}},\frac{1}{\sqrt{2}},0$

• (C) 1, 0, 0

• (D) None 

• Answer: (B)

Q16. The dot product of two unit vectors at 60° is:

• (A) 1

• (B) 0

• (C) 0.5

• (D) None

• Answer: (C) 0.5

Q17. The cross product of $\widehat{i}$ and $\widehat{k}$ is:

• (A) $\widehat{j}$

• (B) $-\widehat{j}$

• (C) $\widehat{i}$

• (D) None 

• Answer: (B) $-\widehat{j}$

Q18. If $\vec{A}=\widehat{i}$, $\vec{B}=\widehat{j}$, $\vec{C}=\widehat{k}$, then $\vec{A}\cdot (\vec{B}\times \vec{C})$ =

• (A) 1

• (B) 0

• (C) -1

• (D) None

• Answer: (A) 1

Q19. The angle between $\widehat{i}$ and $\widehat{j}$ is:

• (A) 0°

• (B) 45°

• (C) 60°

• (D) 90°

• Answer: (D) 90°

Q20. The magnitude of vector $\vec{A}=7\widehat{i}+24\widehat{j}$ is:

• (A) 20

• (B) 25

• (C) 30

• (D) None

• Answer: (B) 25

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