Physics - Vectors Question with Solution | TestHub

Given $\vec{P}=\hat{i}+\hat{j}+\hat{k}$ and $\vec{Q}=-(\hat{i}+\hat{j}+\hat{k})$.

We can write $\vec{Q}=-\vec{P}$.

Calculating the vector $(\vec{P}-\vec{Q})$:

$\vec{P}-\vec{Q}=\vec{P}-(-\vec{P})=2\vec{P}$

Since $(\vec{P}-\vec{Q})$ is a positive scalar multiple of $\vec{P}$, the two vectors are parallel and point in the same direction.

Therefore, the angle between $(\vec{P}-\vec{Q})$ and $\vec{P}$ is $0^{\circ }$.

Answer: $0^{\circ }$