A vector perpendicular to the vector $(4 \hat{\mathbf{i}}-3 \hat{\mathbf{j}})$ is

If $\alpha, \beta$ and $\gamma$ are the angles made by a vector with $x, y$ and $z$ axes respectively, then $\sin ^2 \alpha+\sin ^2 \beta=$

If the magnitude of a vector $\mathbf{P}$ is 25 units and its $y$-component is 7 units, then its $x$-component is

The magnitudes of two vectors are $A$ and $B(A>B)$. If the maximum resultant magnitude of the two vectors is ' $n$ ' times their minimum resultant magnitude, then $\frac{A}{B}=$