Mathematics · JEE

Important Questions: Vectors and scalars, the addition of vectors for JEE

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The most important Vectors and scalars, the addition of vectors questions for JEE cover conceptual traps, standard results, and numerical patterns from Vectors and scalars, the addition of vectors. Goodmarks provides 9+ high-yield MCQs with full solutions.

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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

The vector

\vec{a}+\vec{b}

bisects the angles between the vectors

\vec{a}

and

\vec{b}

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

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

Q7MathsUnit 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

Q8MathsUnit 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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What makes a Vectors and scalars, the addition of vectors question "important" for JEE?

Important questions test core concepts that appear frequently across JEE Main and Advanced papers — definitions, standard formulas, and classic problem types.

Which subtopics in Vector Algebra are high-weightage?

Key areas include Vectors and scalars, the addition of vectors. Prioritise these before moving to edge cases.

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Revise 30–50 important MCQs per unit in the last month before JEE. Focus on questions you got wrong at least once.

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