If $A = 3\hat i + 4\hat j$ and $B = 7\hat i + 24\hat j,$the vector having the same magnitude as $B$ and parallel to $A$ is

If a unit vector is represented by $0.5\hat i + 0.8\hat j + c\hat k$, then the value of ‘$c$’ is

The angle made by the vector $A = \hat i + \hat j$ with $x-$ axis is ....... $^o$

The position vector of a particle is $\vec r = (a\cos \omega t)\hat i + (a\sin \omega t)\hat j$. The velocity of the particle is

A boy walks uniformally along the sides of a rectangular park of size $400\, m × 300\, m$, starting from one corner to the other corner diagonally opposite. Which of the following statement is incorrect

Any vector in an arbitrary direction can always be replaced by two (or three)