Mathematics · JEE

Online Practice: Vector Algebra for JEE

14+ syllabus-aligned questions available

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Goodmarks provides free online JEE practice for Vector Algebra with 14+ 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 14+ JEE-style MCQs mapped to the official syllabus, each with detailed explanations so you learn from every attempt.

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

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 14+ 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.