The expression $\left( {\frac{1}{{\sqrt 2 }}\hat i + \frac{1}{{\sqrt 2 }}\hat j} \right)$ is a
Unit vector
Null vector
Vector of magnitude $\sqrt 2 $
Scalar
Position of a particle in a rectangular-co-ordinate system is $(3, 2, 5)$. Then its position vector will be
The angle made by the vector $A = \hat i + \hat j$ with $x-$ axis is ....... $^o$
The unit vector along $\hat i + \hat j$ is
The unit vector parallel to the resultant of the vectors $\vec A = 4\hat i + 3\hat j + 6\hat k$ and $\vec B = - \hat i + 3\hat j - 8\hat k$ is
If $A = 3\hat i + 4\hat j$ and $B = 7\hat i + 24\hat j,$the vector having the same magnitude as $B$ and parallel to $A$ is