a = i - j + k, b = 2i + j - k and c = λi - j + λk
Given : Vectors \(\bar a,\bar b,\bar c\) are coplanar.
Where,
To Find : value of λ
Formulae :
1) Scalar Triple Product:
If
Answer :
As vectors \(\bar a,\bar b,\bar c\) are coplanar
∴ [\(\bar a,\bar b,\bar c\)] = 0 …………eq(1)
For given vectors,
From eq(1) and eq(2),
