Q. 95.0( 1 Vote )

# If the vectors <s

Given : vectors are coplanar. Where,

To Prove : c2 = ab

Formulae :

1) Scalar Triple Product:

If

Then,

2) Determinant :

As vectors are coplanar

………eq(1)

For given vectors,

= a.(- c) – a.(b - c) + c(c)

= – ac – ab + ac + c2

= - ab + c2

………eq(2)

From eq(1) and eq(2),

- ab + c2 = 0

Therefore,

Hence proved.

Note : Three vectors are coplanar if and only if

Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
view all courses
RELATED QUESTIONS :

The angle betweenMathematics - Exemplar

True and False<brMathematics - Exemplar

Fill in the blankMathematics - Exemplar

Fill in the blankMathematics - Exemplar

True and False<brMathematics - Exemplar

True and False<brMathematics - Exemplar

Fill in the blankMathematics - Exemplar

If <span lang="ENMathematics - Board Papers

Mark the correct RD Sharma - Volume 2

Mark the correct RD Sharma - Volume 2