Mathematics

Problem

\mathbf{a}

\mathbf{b}

and

\mathbf{c}

are non-coplanar vectors and

\mathbf{d} = \lambda\mathbf{a} + \mu\mathbf{b} + \nu\mathbf{c}

, then

\lambda

is equal to a.

\frac{[\mathbf{dbc}]}{[\mathbf{bac}]}

\frac{[\mathbf{bcd}]}{[\mathbf{bca}]}

\frac{[\mathbf{bdc}]}{[\mathbf{abc}]}

\frac{[\mathbf{cbd}]}{[\mathbf{abc}]}