If a = 2i + j + 3k, b = 3i.... | JEE Main 2022 | Vector & 3D

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JEE MAIN 2022

28-6-2022 S1

Question

If $\vec{a}=2 \hat{i}+\hat{j}+3 \hat{k}, \vec{b}=3 \hat{i}+3 \hat{j}+\hat{k}$ and $\vec{c}=c_1 \hat{i}+c_2 \hat{j}+c_3 \hat{k}$ are coplanar vectors and $\vec{a} \cdot \vec{c}=5, \vec{b} \perp \vec{c}$, then $122\left(c_1+c_2\right. +\mathrm{c}_3$ ) is equal to $\_\_\_\_$。

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