if \(\vec{a}\) , \(\vec{b}\)  and  \(\vec{c}\) are three non coplanar vector and  \(\vec{d}\ =\ λ \vec{a}\ + \mu \vec{b}\ +\ \gamma \vec{c}\) then λ will be equal to

1
\(\frac{[\ \vec{d}\ \vec{b}\ \vec{c}\ ]}{[\ \vec{b}\ \ \vec{a}\ \vec{c}\ ]}\)
2
\(\frac{[\ \vec{b}\ \vec{c}\ \vec{d}\ ]}{[\ \vec{b}\ \ \vec{c}\ \vec{a}\ ]}\)
3
\(\frac{[\ \vec{b}\ \vec{d}\ \vec{c}\ ]}{[\ \vec{a}\ \ \vec{b}\ \vec{c}\ ]}\)
4
\(\frac{[\ \vec{c}\ \ \vec{b}\ \ \vec{c}\ ]}{[\ \vec{a}\ \ \vec{b}\ \vec{c}\ ]}\)

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