Physics - Vectors Question with Solution | TestHub

Given vectors are $\vec{A}=2\hat{i}+5\hat{j}-6\hat{k}$ and $\vec{B}=\hat{i}+\frac{5}{2}\hat{j}-3\hat{k}$.

Taking $2$ common from the components of $\vec{A}$:

$\vec{A}=2(\hat{i}+\frac{5}{2}\hat{j}-3\hat{k})$

$\vec{A}=2\vec{B}$

Since $\vec{A}$ is a scalar multiple of $\vec{B}$, the two vectors are parallel.

Answer: $\vec{A}$ is parallel to $\vec{B}$