Mathematics · JEE

Vectors and scalars, the addition of vectors Concepts for JEE

7+ syllabus-aligned questions available

Quick answer

Master Vectors and scalars, the addition of vectors by understanding definitions, standard results, and typical JEE question patterns — then practise with syllabus-aligned MCQs on Goodmarks.

Build clear conceptual foundations for Vectors and scalars, the addition of vectors before speed practice. This guide covers what JEE expects and how to test yourself with MCQs.

Concept explainer

Vectors and scalars, the addition of vectors is a core JEE Main Mathematics subtopic under Vector Algebra. Master the definitions, standard results, and typical MCQ patterns tested in JEE Main and Advanced.

Key points

Understand the definition and scope of Vectors and scalars, the addition of vectors in the JEE syllabus
Memorise key formulas and standard results linked to Vectors and scalars, the addition of vectors
Practise 20–40 syllabus-aligned MCQs with step-by-step solutions

JEE tips

Revise Vectors and scalars, the addition of vectors with a one-page formula sheet before attempting mixed tests
After each practice set, log mistakes specific to Vectors and scalars, the addition of vectors and reattempt after 48 hours

Common trap

Students often rush Vectors and scalars, the addition of vectors questions without checking units, sign conventions, or boundary conditions — always verify assumptions before calculating.

Syllabus context

Part of Vector Algebra in JEE Main Mathematics.

Free sample questions

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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

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

Q3MathsUnit 12: Vector Algebra

A zero vector has

Q4MathsUnit 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

Q5MathsUnit 12: Vector Algebra

Assertion A vector cannot be divided by other Vector. Reason A vector can be dived by a scalar.

Q6MathsUnit 12: Vector Algebra

\vec{a}

and

\vec{b}

are non-collinear vectors and

\boldsymbol{A}=(\boldsymbol{p}+\mathbf{4} \boldsymbol{q}) \boldsymbol{a}+(\boldsymbol{2} \boldsymbol{p}+\boldsymbol{q}+\mathbf{1}) \boldsymbol{b}

\boldsymbol{B}=(-\mathbf{2} \boldsymbol{p}+\boldsymbol{q}+\mathbf{2}) \boldsymbol{a}+(\mathbf{2} \boldsymbol{p}-\boldsymbol{3} \boldsymbol{q}-\mathbf{1}) \boldsymbol{b}

then determine

p

and

q,

so that

3 A=

2 B

Q7MathsUnit 12: Vector Algebra

In a trapezium, the vector

\overline{B C}=\lambda \overline{A D}

and

\bar{P}=\overline{A C}+\overline{B D}=\mu \overline{A D},

then

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Frequently asked questions

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