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Important Questions: Components of a vector in two dimensions and three-dimensional spaces for JEE

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Q1MathsUnit 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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