Mathematics · JEE

Vectors and scalars, the addition of vectors MCQs for JEE

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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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Frequently asked questions

What type of Vectors and scalars, the addition of vectors MCQs appear in JEE?

JEE Main tests Vectors and scalars, the addition of vectors through conceptual and numerical MCQs. Goodmarks mirrors this format with four-option questions and detailed solutions.

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