Mathematics · JEE

Vector Algebra Previous Year Questions for JEE

14+ syllabus-aligned questions available

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Goodmarks offers 14+ JEE-style PYQs for Vector Algebra with detailed solutions. While official past papers rotate yearly, our bank covers the same concepts, difficulty, and question formats tested in JEE Mathematics.

Previous year questions are the fastest way to understand how Vector Algebra is tested in JEE. Practise 14+ exam-pattern MCQs modelled on JEE Main and Advanced, with full solutions for every question.

Subtopics in Vector Algebra

Vectors and scalars, the addition of vectors
Components of a vector in two dimensions and three-dimensional spaces
Scalar and vector products

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Q1MathsUnit 12: Vector Algebra

Let

\mathrm{ABC}

be a triangle and let

\mathrm{S}

be its circumcentre and

\mathrm{O}

be its orthocentre. The

\overline{\mathbf{S A}}+\overline{\mathbf{S B}}+\overline{\mathbf{S C}}=

Q2MathsUnit 12: Vector Algebra

Consider

\Delta A B C

with

A \equiv(\vec{a}), B \equiv(\vec{b})

and

C=(\vec{c}),

\vec{b} .(\vec{a}+\vec{c})=\vec{b} \cdot \vec{b}+

\vec{a} \cdot \vec{c} ;|\vec{b}-\vec{a}|=3 ;|\vec{c}-\vec{b}|=4

then the angle between the medians

\overline{A M}

and

B D

Q3MathsUnit 12: Vector Algebra

Six vectors, a through f have the magnitudes and directions indicated in the figure. Which of the following statements is true?

Q4MathsUnit 12: Vector Algebra

A zero vector has

Q5MathsUnit 12: Vector Algebra

Three vectors

\vec{A}, \vec{B}

and

\vec{C}

are as shown in figure. If magnitude of

\vec{A}

4 \mathrm{m}

and

\vec{A}+\vec{B}+\vec{C}=0,

then the magnitude of

\vec{B}

and

\vec{C}

are respectively

Q6MathsUnit 12: Vector Algebra

The points

A(-1,3,0), B(2,2,1)

and

C(1,1,3)

determine a plane. The distance of the plane

A, B, C

from the point

D(5,7,8)

Q7MathsUnit 12: Vector Algebra

The vectors

\hat{\boldsymbol{i}}+\boldsymbol{2} \hat{\boldsymbol{j}}+\boldsymbol{3} \hat{\boldsymbol{k}}, \boldsymbol{2} \hat{\boldsymbol{i}}-\hat{\boldsymbol{j}}+\hat{\boldsymbol{k}}

and

\mathbf{3} \hat{\mathbf{i}}+\hat{\boldsymbol{j}}+\mathbf{4} \hat{\boldsymbol{k}}

are so placed that the end point of one vector is the starting point of the next vector. Then the vectors are :

Q8MathsUnit 12: Vector Algebra

Assertion A vector cannot be divided by other Vector. Reason A vector can be dived by a scalar.

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Frequently asked questions

Why practise PYQs for Vector Algebra?

PYQs reveal recurring concepts, common traps, and the difficulty level JEE expects. Solving them builds exam temperament and time management.

Does Goodmarks have actual JEE past papers?

Our bank includes exam-style MCQs aligned with JEE Main Mathematics syllabus for Vector Algebra, covering the same topics as previous year papers.

How should I use PYQs for Vector Algebra?

Solve timed sets, review every explanation, note weak subtopics, then revisit with focused practice on Goodmarks.

Are PYQ solutions step-by-step?

Yes. Every question includes the correct answer and a detailed explanation showing the reasoning.