Mathematics · JEE

Scalar and vector products MCQs for JEE

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Scalar and vector products JEE MCQs on Goodmarks include 17+ multiple-choice questions with correct answers and step-by-step solutions. Attempt free samples below or unlock the full bank with Pro.

Master Scalar and vector products through exam-style multiple-choice questions. This page features 17+ JEE MCQs covering Scalar and vector products, each with verified answers and clear explanations.

Syllabus context

Part of Vector Algebra in JEE Main Mathematics.

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Q1MathsUnit 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

Q2MathsUnit 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}

Q3MathsUnit 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

Q4MathsUnit 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 :

Q5MathsUnit 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.

Q6MathsUnit 12: Vector Algebra

\boldsymbol{A}=(\mathbf{1}, \mathbf{2}, \mathbf{3}), \boldsymbol{B}=(\mathbf{2}, \mathbf{3}, \mathbf{4})

and

\boldsymbol{A} \boldsymbol{B}

is produced upto

C

such that

2 A B=B C

then

C=

Q7MathsUnit 12: Vector Algebra

a, b, c

are non-coplanar vectors and

\lambda

is a real number, then

\left[\lambda(\vec{a}+\vec{b}) \lambda^{2} \vec{b} \lambda \vec{c}\right]=[\vec{a} \quad \vec{b}+\vec{c} \quad \vec{b}]

for

Q8MathsUnit 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)

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Frequently asked questions

What type of Scalar and vector products MCQs appear in JEE?

JEE Main tests Scalar and vector products through conceptual and numerical MCQs. Goodmarks mirrors this format with four-option questions and detailed solutions.

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Aim for at least 50–100 MCQs per subtopic. Goodmarks has 17+ questions for Scalar and vector products to build speed and accuracy.

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