jee-main 2019 Q87

jee-main · India · session2_08apr_shift1 Vectors: Cross Product & Distances

The magnitude of the projection of the vector $2\hat{i} + 3\hat{j} + \hat{k}$ on the vector perpendicular to the plane containing the vectors $\hat{i} + \hat{j} + \hat{k}$ and $\hat{i} + 2\hat{j} + 3\hat{k}$, is:
(1) $3\sqrt{6}$
(2) $\sqrt{\frac{3}{2}}$
(3) $\sqrt{6}$
(4) $\frac{\sqrt{3}}{2}$

The magnitude of the projection of the vector $2\hat{i} + 3\hat{j} + \hat{k}$ on the vector perpendicular to the plane containing the vectors $\hat{i} + \hat{j} + \hat{k}$ and $\hat{i} + 2\hat{j} + 3\hat{k}$, is:\\
(1) $3\sqrt{6}$\\
(2) $\sqrt{\frac{3}{2}}$\\
(3) $\sqrt{6}$\\
(4) $\frac{\sqrt{3}}{2}$

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