MCQ
If $\vec{a}=\hat{i}+\hat{j}-\hat{k}$ then the value of $|\vec{a}|^2$ will be -
- A$\sqrt{3}$
- B-3
- C1
- D2
Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.
$\overline{A B}=-2 \hat{i}+\hat{j}+3 \hat{k}$
$\overline{C B}=\alpha \hat{i}+\beta \hat{j}+\gamma \hat{k}$
$\overline{C A}=4 \hat{i}+3 \hat{j}+\delta \hat{k}$
If $\delta > 0$ and the area of the triangle $ABC$ is $5 \sqrt{6}$, then $\overline{C B} \cdot \overline{C A}$ is equal to