Mathematics · JEE

Vector Algebra Revision for JEE

23+ syllabus-aligned questions available

Quick answer

Revise Vector Algebra by covering every subtopic once, drilling formulas, then solving 23+ timed MCQs with full solutions.

Use this Vector Algebra revision checklist before mocks and the final exam. Reinforce concepts with 23+ syllabus-aligned MCQs on Goodmarks.

Revision checklist

1.Vector components in 2D and 3D
2.Scalar and vector products
3.Applications to geometry and physics
4.Revise Vectors and scalars, the addition of vectors with 10 MCQs
5.Revise Components of a vector in two dimensions and three-dimensional spaces with 10 MCQs
6.Revise Scalar and vector products with 10 MCQs

JEE Formula Sheet

82+ important formulas for Vector Algebra

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Subtopics in Vector Algebra

View Vector Algebra formula sheet — 82+ JEE formulas

Free sample questions

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Q1MathsUnit 12: Vector Algebra

An airplane is heading north east at a speed of

141 m s^{-1}

. The northward component of its velocity is:

Q2MathsUnit 12: Vector Algebra

Let

a, \beta, \gamma

be distinct real numbers. The points with position vectors ai

+\beta j+

\gamma k, \beta i+\gamma j+a k, \gamma i+a j+\beta k

Q3MathsUnit 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}}=

Q4MathsUnit 12: Vector Algebra

The non zero vector

\vec{a}, \vec{b}, \vec{c}

related by

\vec{a}=8 \vec{b}

and

\vec{c}=-7 \vec{b},

then angle between

\vec{a} \& \vec{c}

Q5MathsUnit 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

Q6MathsUnit 12: Vector Algebra

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

Q7MathsUnit 12: Vector Algebra

A zero vector has

Q8MathsUnit 12: Vector Algebra

For any four points

P, Q, R, S

|\overrightarrow{P Q} \times \overrightarrow{\boldsymbol{R}} \boldsymbol{S}-\overrightarrow{\boldsymbol{Q} \boldsymbol{R}} \times \overrightarrow{\boldsymbol{P}} \boldsymbol{S}+\overrightarrow{\boldsymbol{R}} \boldsymbol{P} \times \overrightarrow{\boldsymbol{Q}} \boldsymbol{S}|

is equal to 4 times the area of the triangle.

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Frequently asked questions

How should I revise Vector Algebra before JEE?

Follow the checklist on this page, revise formulas daily, and attempt mixed MCQs every 2–3 days.