The position vectors of $A$ and $B$ are $2i - 9j - 4k$ and $6i - 3j + 8k$ respectively. Then the magnitude of $\overrightarrow{AB}$ is:

For three vectors $p, q$ and $r$,if $r = 3p + 4q$ and $2r = p - 3q$,then

If the position vectors of three points are $a$,$b$,and $(3a - 2b)$,then these points are .....

The vector $\frac{1}{3} (2\hat{i} - 2\hat{j} + \hat{k})$ is ....

Let $A(3 \hat{i}+\hat{j}-\hat{k})$ and $B(13 \hat{i}-4 \hat{j}+9 \hat{k})$ be two points on a line $L$. $C$ and $D$ are points on $L$ on either side of $A$ at distances of $9$ and $6$ units respectively, and $C$ lies between $A$ and $B$. Then the position vectors of $C$ and $D$ are respectively:

$A$ vector coplanar with the non-collinear vectors $\vec{a}$ and $\vec{b}$ is: