Classify the following as scalar or vector quantities:
Velocity

Classify the following measure as a scalar or a vector:
$40^{o}$

If $A(1, 0, 0)$,$B(0, 1, 0)$,and $C(0, 0, 1)$ are given,and $\vec{AB} = \vec{CX}$,then the point $X$ is:

Show that the vector $\hat{i}+\hat{j}+\hat{k}$ is equally inclined to the axes $OX, OY,$ and $OZ$.

If the position vector of a point $A$ is $a + 2b$ and a point $P$ divides $AB$ in the ratio $2:3$,where the position vector of $P$ is $a$,then the position vector of $B$ is:

$A$ vector which is in the direction of $(3, 6, 2)$ and has magnitude $4$ is $.......$