Question

If $\overrightarrow A=(2\hat i+3\hat j−\hat k)m$ and $\overrightarrow B=(\hat i+2\hat j+2\hat k)m$. The magnitude of component of vector $\overrightarrow A$ along vector $\overrightarrow B$ will be ______$m$.

Answer 1

$A\; cos \theta = \frac{\overrightarrow A.\overrightarrow B}{|\overrightarrow B|}$

= $\frac{2+6-2}{3}$

= $\frac{6}{3}$

=$2$