NEET - Vector Previous Year Questions with Solutions

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Here you will get Complete Vector NEET Previous Year Questions with complete and detailed solutions.

Get complete NEET previous year questions for Physics, Chemistry and Biology.

You will find all the solutions at the end of this page:

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Common Mistakes Students Make in Vector Questions 

Mistakes That Cost Marks in NEET

Past eSaral batches have shown that students who drill these five mistake patterns on PYQs before NEET improve their Physics score by 8–12 marks on average — purely by eliminating errors rather than learning new material.

Most Repeated Vector Sub-topics in NEET (By Frequency)

Key Vector Concepts You Must Know Before Solving PYQs

Vector Addition and Subtraction

The Triangle Law and Parallelogram Law of vector addition are tested almost every other year. Know these formulas thoroughly:

• Resultant magnitude (Parallelogram Law):
  $R = \sqrt{A^2 + B^2 + 2AB\cos\theta}$
• Direction of resultant:
  $\tan \alpha = \frac{B\sin\theta}{A + B\cos\theta}$
• Vector subtraction:
  $|A - B| = \sqrt{A^2 + B^2 - 2AB\cos\theta}$

Special Cases Tested in NEET

• $\theta = 0^\circ \rightarrow R = A + B$ (maximum resultant)
• $\theta = 180^\circ \rightarrow R = |A - B|$ (minimum resultant)
• $\theta = 90^\circ \rightarrow R = \sqrt{A^2 + B^2}$
• When $|A + B| = |A - B| \rightarrow \theta = 90^\circ$

Dot Product and Cross Product

Dot Product (Scalar Product)

$\vec{A} \cdot \vec{B} = AB\cos\theta$

• Result is a scalar
• $\vec{A} \cdot \vec{A} = A^2$ (used in work-energy problems)
• If $\vec{A} \perp \vec{B}$, then $\vec{A} \cdot \vec{B} = 0$

Cross Product (Vector Product)

$|\vec{A} \times \vec{B}| = AB\sin\theta$

• Result is a vector, direction by the right-hand rule
• If $\vec{A} \parallel \vec{B}$, then $|\vec{A} \times \vec{B}| = 0$
• Used for torque: $\tau = \vec{r} \times \vec{F}$
• Used for angular momentum: $\vec{L} = \vec{r} \times \vec{p}$

NEET frequently asks:

• “If the dot product of two vectors is zero, what is the angle between them?” → Answer: $90^\circ$
• “If the cross product is zero, what does that imply?” → Answer: vectors are parallel or anti-parallel.

In the eSaral 5-layer doubt-solving system, this is one of the most commonly asked topics at the doubt-clearing stage — students confuse when to use dot product versus cross product. The rule is simple: if the physical quantity involves the cosine of the angle between the vectors (like work), use dot product. If it involves sine (like torque), use the cross product. Practise this distinction with every PYQ you solve.

How to Solve NEET Vector Questions in Exam Conditions 

Step-by-Step Approach for Vector PYQs

NEET gives you roughly 75 seconds per Physics question. Vector questions should take 45–60 seconds if you follow this method:

1. Read the question and identify the vector operation — is it addition, subtraction, dot product, or cross product?

2. Write down the given magnitudes and the angle between vectors.

3. Apply the correct formula directly — do not re-derive in the exam.

4. Check the answer options — NEET MCQs often have two options that look similar. Eliminate clearly wrong answers first.

5. Watch units — angles must be in degrees or radians consistently.

Work through every question in the PYQ set above, cross-reference your solutions with the NCERT Solutions for Class 11 Physics, and revisit wrong answers after 48 hours.

If you want Kota-quality teaching for every Physics chapter — delivered by IIT Bombay faculty, including an AIR-41 ranker, with a 5-layer doubt-solving system and affordable pricing — explore eSaral's NEET courses. Bookmark this page for quick PYQ revision as your exam date approaches.