Vectors $$\overrightarrow A ,\overrightarrow B $$ and $$\overrightarrow C $$ are such that $$\overrightarrow A .\overrightarrow B = 0$$ and $$\overrightarrow A .\overrightarrow C = 0$$. Then the vector parallel to $$\overrightarrow A $$ is

The velocity of a projectile at the initial point A is $$\left( {2\widehat i + 3\widehat j} \right)$$ m/s. It's velocity (in m/s) at point B is

A particle has initial velocity $$\left( {2\overrightarrow i + 3\overrightarrow j } \right)$$ and acceleration $$\left( {0.3\overrightarrow i + 0.2\overrightarrow j } \right)$$. The magnitude of velocity after 10 seconds will be

The horizontal range and the maximum height of a projectile are equal. The angle of projection of the projectile is