$A$ unit vector is given by $a\hat{i} + b\hat{j} + c\hat{k}$. If the values of $a$ and $b$ are $0.6$ and $0.8$ respectively, find the value of $c$.

If a unit vector is represented by $0.5\hat i + 0.8\hat j + c\hat k$,then the value of $c$ is

Given $\vec{P} + \vec{Q} = \vec{P} - \vec{Q}$. Under what condition is this true?

$ABC$ is an equilateral triangle. The length of each side is $a$ and the centroid is point $O$. Then $\overrightarrow{OA} + \overrightarrow{OB} + \overrightarrow{OC} = \dots$

What is the position vector of a particle located at $(3, 2, 5)$?

Two vectors $A$ and $B$ are inclined at an angle $\theta$. Their resultant $R$ makes an angle $\phi$ with vector $A$. If the directions of $A$ and $B$ are interchanged,the resultant will have the same: