If $\overrightarrow {a}$ and $\overrightarrow {b}$ are two non-zero perpendicular vectors, then a vector $\overrightarrow {y}$ satisfying equations $\overrightarrow {a}.\overrightarrow {y}=c$ (c scalar) and $\overrightarrow {a} \times \overrightarrow {y} = \overrightarrow {b}$ is

Question

\[(a)\;|\overrightarrow {a}|^2 ( c \overrightarrow a - (\overrightarrow a \times \overrightarrow b)) \quad (b)\;|\overrightarrow {a}|^2 .( c \overrightarrow a + (\overrightarrow a \times \overrightarrow b)) \quad (c)\;\frac{1}{|\overrightarrow {a}|^2} ( c \overrightarrow a - (\overrightarrow a \times \overrightarrow b)) \quad (d)\;\frac{1}{|\overrightarrow {a}|^2} ( c \overrightarrow a + (\overrightarrow a \times \overrightarrow b))\]