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Q. If $\vec{\alpha}=\hat{i}-3 \hat{j}, \vec{\beta}=\hat{i}+2 \hat{j}-\hat{k}$ then express $\vec{\beta}$ in the form $\vec{\beta}=\vec{\beta}_{1}+\vec{\beta}_{2}$ where $\vec{\beta}_{1}$ is parallel to $\vec{\alpha}$ and $\vec{\beta}_{2}$ is perpendicular to $\vec{\alpha}$ then $\vec{\beta}_{1}$ is given by

KCETKCET 2022Vector Algebra

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