Mathematics · JEE

Vector Algebra Mock Test for JEE

14+ syllabus-aligned questions available

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A Vector Algebra JEE mock test on Goodmarks lets you attempt 14+ timed MCQs with instant feedback. Use it to benchmark speed, accuracy, and readiness for JEE Main Mathematics.

Simulate exam conditions with a Vector Algebra mock test. Attempt 14+ timed MCQs, check your score instantly, and review every solution to close gaps before the real exam.

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 long should a Vector Algebra mock test take?

For a topic-level test, aim for 20–30 minutes. For a full subject mock, allow 60–90 minutes to mirror JEE timing.

What is a good score on a Vector Algebra mock test?

Aim for 70%+ accuracy initially, then push toward 85%+ as your exam date approaches. Review explanations for every wrong answer.

Does Goodmarks score mock tests automatically?

Yes. Each MCQ is scored instantly with the correct answer and explanation shown after submission.

Can I retake the same mock test?

Pro users can generate new question sets by topic. Reattempting the same questions after a gap is excellent for retention.