List of top Mathematics Questions on Magnitude and Directions of a Vector asked in CBSE Class XII

If position vector \( \vec{p} \) of a point \( (24, n) \) is such that \( |\vec{p}| = 25 \), then the value of \( n \) is :

If position vector \( \vec{p} \) of a point \( (24, n) \) is such that \( |\vec{p}| = 25 \), then the value of \( n \) is :

A unit vector \( \vec{a} \) is such that it makes an angle \( \frac{\pi}{4} \) with x-axis, \( \frac{\pi}{3} \) with y-axis and an acute angle \( \theta \) with z-axis. Find \( \theta \) and the components of \( \vec{a} \).

If \( |\vec{a}| = 5 \) and \( -2 \leq \lambda \leq 1 \), then the sum of greatest and the smallest value of \( |\lambda \vec{a}| \) is

Vector of magnitude 3 making equal angles with \( x \) and \( y \) axes and perpendicular to \( z \) axis is

If $|\vec{a}| = 5$ and $-2 \le \lambda \le 1$, then the sum of the greatest and the smallest value of $|\lambda \vec{a}|$ is: