The unit vector along $\hat i + \hat j$ is
$\hat k$
$\hat i + \hat j$
$\frac{{\hat i + \hat j}}{{\sqrt 2 }}$
$\frac{{\hat i + \hat j}}{2}$
A vector is represented by $3\,\hat i + \hat j + 2\,\hat k$. Its length in $XY$ plane is
If a vector $\overrightarrow P $ making angles $\alpha, \beta\ and\ \gamma$ respectively with the $X, Y$ and $Z$ axes respectively. Then ${\sin ^2}\alpha + {\sin ^2}\beta + {\sin ^2}\gamma = $
The value of a unit vector in the direction of vector $A = 5\hat i - 12\hat j,$ is
A boy walks uniformally along the sides of a rectangular park of size $400\, m × 300\, m$, starting from one corner to the other corner diagonally opposite. Which of the following statement is incorrect
Let $\theta$ be the angle between vectors $\vec{A}$ and $\vec{B}$. Which of the following figures correctly represents the angle $\theta$ ?