List of top Mathematics Questions on Vectors asked in JKCET

The unit vector perpendicular to each of the vectors $ (2\hat{i} - \hat{j} + \hat{k}) \text{ and } (3\hat{i} + 4\hat{j}) \text{ is} $

Angle between the line $ \vec{r} = (2\hat{i} - \hat{j} + \hat{k}) + \lambda (-\hat{i} + \hat{j} + \hat{k}) $ and the plane $ \vec{r} \cdot (3\hat{i} + 2\hat{j} - \hat{k}) = 4 $ is

The value of $ k $ so that $ \frac{x-1}{-3} = \frac{y-2}{2k} = \frac{z-3}{2} = \frac{x-1}{3k} = \frac{y-1}{1} = \frac{z-6}{-5} $ may be perpendicular is given by

If $ \theta $ is the angle between two vectors $ \vec{a} $ and $ \vec{b} $, then $ | \vec{a} \times \vec{b} | = | \vec{a} \cdot \vec{b} | $ equals to