Physics - Vectors Question with Solution | TestHub

GIven vector are $\overrightarrow{A}=\left(2\hat{\mathrm{i}}+3\hat{\mathrm{j}}-\hat{\mathrm{k}}\right) \mathrm{m}$ and $\overrightarrow{B}=\left(\hat{\mathrm{i}}+2\hat{\mathrm{j}}+2\hat{\mathrm{k}}\right) \mathrm{m}$

Component of $\overrightarrow{A}$ along $\overrightarrow{B}=\overrightarrow{A}·\hat{B}$

$=\frac{\overrightarrow{A}·\overrightarrow{B}}{\left|\overrightarrow{B}\right|}=\frac{2+6-2}{\sqrt{1^2+2^2+2^2}}$$=\frac{6}{3}=2$