Mathematics · JEE

Vectors and scalars, the addition of vectors Revision for JEE

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Revise Vectors and scalars, the addition of vectors by covering every subtopic once, drilling formulas, then solving 7+ timed MCQs with full solutions.

Use this Vectors and scalars, the addition of vectors revision checklist before mocks and the final exam. Reinforce concepts with 7+ syllabus-aligned MCQs on Goodmarks.

Revision checklist

1.Core idea: Vectors and scalars, the addition of vectors
2.Relates to other subtopics in Vector Algebra
3.Vector components in 2D and 3D
4.Scalar and vector products
5.Master Vectors and scalars, the addition of vectors definitions and standard results
6.Solve 20 timed MCQs for Vectors and scalars, the addition of vectors

Syllabus context

Part of Vector Algebra in JEE Main Mathematics.

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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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How should I revise Vectors and scalars, the addition of vectors before JEE?

Follow the checklist on this page, revise formulas daily, and attempt mixed MCQs every 2–3 days.

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