Mathematics · JEE

Online Practice: Vectors and scalars, the addition of vectors for JEE

9+ syllabus-aligned questions available

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Sharpen your mathematics preparation with interactive online practice for Vectors and scalars, the addition of vectors. Goodmarks offers 9+ JEE-style MCQs mapped to the official syllabus, each with detailed explanations so you learn from every attempt.

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

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

How do I practice Vectors and scalars, the addition of vectors online for JEE?

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How many Vectors and scalars, the addition of vectors questions are available?

Goodmarks currently has 9+ JEE-aligned MCQs for Vectors and scalars, the addition of vectors, with more added regularly.

Is this aligned with the JEE Main syllabus?

Yes. All Mathematics questions on Goodmarks are organised by official JEE Main units and subtopics, including Vectors and scalars, the addition of vectors.

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Every question includes the correct answer and a step-by-step explanation. Free users can practise a random mix; Pro unlocks full subject and topic filters.