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

Now, calculate $(\vec{P}-\vec{Q})$:

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

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

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

Answer: $0^{\circ }$