If $ \overrightarrow {a},\overrightarrow {b},\overrightarrow {c} $ are non - coplanar vectors and $ \overrightarrow {d} = \lambda \overrightarrow {a}+\mu \overrightarrow {b}+ v \overrightarrow {c}$ then $\lambda$ is

Question

$\begin{array}{1 1} \large\frac{[\overrightarrow {a} \overrightarrow {b} \overrightarrow {c}]}{[\overrightarrow {b} \overrightarrow {a}\overrightarrow {c}]}\\ \large\frac{[\overrightarrow {b} \overrightarrow {c} \overrightarrow {d}]}{[\overrightarrow {b} \overrightarrow {c}\overrightarrow {a}]} \\ \large\frac{[\overrightarrow {b} \overrightarrow {d} \overrightarrow {c}]}{[\overrightarrow {a} \overrightarrow {b}\overrightarrow {c}]} \\ \large\frac{[\overrightarrow {c} \overrightarrow {b} \overrightarrow {d}]}{[\overrightarrow {a} \overrightarrow {b}\overrightarrow {c}]} \end{array} $