Let a→,b→ and c→ be three non-zero non-coplanar vectors. Let the position vectors of four points A, B, C and D be a→-b→+c→, λa→-3b→+4c→, -a→+2b→-3c→ and 2a→-4b→+6c→ respectively. If AB→, AC→ and AD→ are coplanar, then λ is :

Question

Let

\vec{a}, \vec{b}

and

\vec{c}

be three non-zero non-coplanar vectors. Let the position vectors of four points

A, B, C

and

D

\vec{a} - \vec{b} + \vec{c}, λ \vec{a} - 3 \vec{b} + 4 \vec{c}

- \vec{a} + 2 \vec{b} - 3 \vec{c}

and

2 \vec{a} - 4 \vec{b} + 6 \vec{c}

respectively. If

\vec{A B}

\vec{A C}

and

\vec{A D}

are coplanar, then

λ

is :

Correct Answer

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