List of top Physics Questions on Vectors

Given two force vectors:
\[ \vec{F}_1 = 2\hat{i} + 3\hat{j} - \hat{k}, \quad \vec{F}_2 = \hat{i} + \hat{j} + \hat{k} \] What is the magnitude of the resultant force?

A unit vector perpendicular to the plane containing \( \vec{A} = i + j - 2k \) and \( \vec{B} = 2i - j + k \) is

For three non-coplanar vectors a, b and c, the expression a $\cdot$ (b $\times$ c) can be written as

If $\vec{a}$ and $\vec{b}$ are unit vectors and the angle between them is $\frac{\pi}{3}$, then the magnitude of $\vec{a} - \vec{b}$ is .............