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?

The position of a particle moving along the X-axis as a function of time t (in seconds) is given by $X = t^{3}-9t + 2$. The magnitude of the acceleration of the particle at $t=3$ seconds is:

The equation describing acceleration (a) as a function of displacement (x) for four different particles is given below. Which one of these is executing simple harmonic motion?

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 .............