Which one of the following pair cannot be the rectangular components of force vector of $10 \,N$ ?
$6 \,N$ and $8 \,N$
$7 \,N$ and $\sqrt{51} \,N$
$6 \sqrt{2} \,N$ and $2 \sqrt{7} \,N$
$9 \,N$ and $1 \,N$
The angles which a vector $\hat i + \hat j + \sqrt 2 \,\hat k$ makes with $X, Y$ and $Z$ axes respectively are
A vector in $x-y$ plane makes an angle of $30^{\circ}$ with $y$-axis The magnitude of $y$-component of vector is $2 \sqrt{3}$. The magnitude of $x$-component of the vector will be
The projection of a vector $\vec r\, = \,3\hat i\, + \,\hat j\, + \,2\hat k$ on the $xy$ plane has magnitude