Find the value of λ for which the vectors are coplanar, when
i. and
ii. and
iii. and
i. .. and
Given : Vectors are coplanar.
Where,
To Find : value of
Formulae :
1) Scalar Triple Product:
If
Then,
2) Determinant :
Answer :
As vectors are coplanar
…………eq(1)
For given vectors,
…………eq(2)
From eq(1) and eq(2),
ii. and
Given : Vectors are coplanar.
Where,
To Find : value of
Formulae :
1) Scalar Triple Product:
If
Then,
2) Determinant :
Answer :
As vectors are coplanar
…………eq(1)
For given vectors,
…………eq(2)
From eq(1) and eq(2),
iii. .. and
Given : Vectors are coplanar.
Where,
To Find : value of
Formulae :
1) Scalar Triple Product:
If
Then,
2) Determinant :
Answer :
As vectors are coplanar
…………eq(1)
For given vectors,
…………eq(2)
From eq(1) and eq(2),