Mathematics · JEE

Vector Algebra Short Tricks for JEE

23+ syllabus-aligned questions available

Quick answer

Short tricks for Vector Algebra work only with strong fundamentals. Apply the tips below in timed sets and review every explanation.

Use these Vector Algebra shortcuts to save time in JEE Mathematics papers — then validate speed with 23+ MCQs on Goodmarks.

Short tricks for speed

Vector Algebra focus drill
Solve 15 mixed MCQs for Vector Algebra, review every explanation, and note formulas you hesitated on.
Calculus substitution scan
Spot standard forms (sin²x, 1/(a²+x²), e^ax) before integrating — JEE rewards pattern recognition.
Graph sketch shortcut
For coordinate geometry, mark intercepts and asymptotes first; many MCQs need only qualitative graph features.

JEE Formula Sheet

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Subtopics in Vector Algebra

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Free sample questions

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Q1MathsUnit 12: Vector Algebra

An airplane is heading north east at a speed of

141 m s^{-1}

. The northward component of its velocity is:

Q2MathsUnit 12: Vector Algebra

Let

a, \beta, \gamma

be distinct real numbers. The points with position vectors ai

+\beta j+

\gamma k, \beta i+\gamma j+a k, \gamma i+a j+\beta k

Q3MathsUnit 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}}=

Q4MathsUnit 12: Vector Algebra

The non zero vector

\vec{a}, \vec{b}, \vec{c}

related by

\vec{a}=8 \vec{b}

and

\vec{c}=-7 \vec{b},

then angle between

\vec{a} \& \vec{c}

Q5MathsUnit 12: Vector Algebra

Consider

\Delta A B C

with

A \equiv(\vec{a}), B \equiv(\vec{b})

and

C=(\vec{c}),

\vec{b} .(\vec{a}+\vec{c})=\vec{b} \cdot \vec{b}+

\vec{a} \cdot \vec{c} ;|\vec{b}-\vec{a}|=3 ;|\vec{c}-\vec{b}|=4

then the angle between the medians

\overline{A M}

and

B D

Q6MathsUnit 12: Vector Algebra

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

Q7MathsUnit 12: Vector Algebra

A zero vector has

Q8MathsUnit 12: Vector Algebra

For any four points

P, Q, R, S

|\overrightarrow{P Q} \times \overrightarrow{\boldsymbol{R}} \boldsymbol{S}-\overrightarrow{\boldsymbol{Q} \boldsymbol{R}} \times \overrightarrow{\boldsymbol{P}} \boldsymbol{S}+\overrightarrow{\boldsymbol{R}} \boldsymbol{P} \times \overrightarrow{\boldsymbol{Q}} \boldsymbol{S}|

is equal to 4 times the area of the triangle.

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Frequently asked questions

Are short tricks enough for Vector Algebra in JEE?

No — tricks complement concepts. Master the theory first, then use shortcuts in timed MCQ practice.