Mathematics · JEE

Online Practice: Vector Algebra for JEE

28+ syllabus-aligned questions available

Quick answer

Goodmarks provides free online JEE practice for Vector Algebra with 28+ MCQs, instant answer checking, and full solutions. Sign up to unlock the complete question bank and topic-wise filters.

Sharpen your mathematics preparation with interactive online practice for Vector Algebra. Goodmarks offers 28+ JEE-style MCQs mapped to the official syllabus, each with detailed explanations so you learn from every attempt.

JEE Formula Sheet

82+ important formulas for Vector Algebra

View formula sheet

Subtopics in Vector Algebra

View Vector Algebra formula sheet — 82+ JEE formulas

Free sample questions

Attempt 8 free MCQs for Vector Algebra. Unlock 20+ more with Pro.

Unlock full bank

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

If position vectors of four vertices of a square are

\boldsymbol{A}=\mathbf{3} \boldsymbol{i}-\boldsymbol{\lambda} \boldsymbol{j}, \boldsymbol{B}=\mathbf{9} \boldsymbol{i}-\boldsymbol{6} \boldsymbol{k}

\boldsymbol{C}=\mathbf{6} \boldsymbol{j}-\mathbf{5} \boldsymbol{k}

and

\boldsymbol{D}=\boldsymbol{\alpha} \boldsymbol{i}-\boldsymbol{3} \boldsymbol{j}+\boldsymbol{4} \boldsymbol{k}

then value of

\lambda-\alpha

is :

Q8MathsUnit 12: Vector Algebra

A zero vector has

Want unlimited Vector Algebra practice?

Pro unlocks the full question bank, topic filters, and attempt history.

Get started free View Pro plans

Frequently asked questions

How do I practice Vector Algebra online for JEE?

Open this page, attempt the free sample MCQs, then sign up on Goodmarks to access the full Vector Algebra question bank with topic filters and detailed explanations.

How many Vector Algebra questions are available?

Goodmarks currently has 28+ JEE-aligned MCQs for Vector Algebra, with more added regularly.

Is this aligned with the JEE Main syllabus?

Yes. All Mathematics questions on Goodmarks are organised by official JEE Main units and subtopics, including Vectors and scalars, the addition of vectors, Components of a vector in two dimensions and three-dimensional spaces, Scalar and vector products.

Do I get solutions after each question?

Every question includes the correct answer and a step-by-step explanation. Free users can practise a random mix; Pro unlocks full subject and topic filters.