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Components of a vector in two dimensions and three-dimensional spaces Short Tricks for JEE

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Short tricks for Components of a vector in two dimensions and three-dimensional spaces work only with strong fundamentals. Apply the tips below in timed sets and review every explanation.

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Short tricks for speed

  • Components of a vector in two dimensions and three-dimensional spaces focus drill

    Solve 15 mixed MCQs for Components of a vector in two dimensions and three-dimensional spaces, 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.

Syllabus context

Part of Vector Algebra in JEE Main Mathematics.

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Q1MathsUnit 12: Vector Algebra
An airplane is heading north east at a speed of 141ms−1141 m s^{-1}. The northward component of its velocity is:
Q2MathsUnit 12: Vector Algebra
Let α,β,γ\alpha, \beta, \gamma be the distinct real numbers. The vectors αi^+βj^+rk^\boldsymbol{\alpha} \hat{\boldsymbol{i}}+\boldsymbol{\beta} \hat{\boldsymbol{j}}+\boldsymbol{r} \hat{\boldsymbol{k}} βi^+rj^+αk^;γi^+αj^+βk^\beta \hat{i}+r \hat{j}+\alpha \hat{k} ; \gamma \hat{i}+\alpha \hat{j}+\beta \hat{k} are

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