Home
Class 12
MATHS
Given three vectors veca, vecb and vecc ...

Given three vectors `veca, vecb` and `vecc` are non-zero and non-coplanar vectors. Then which of the following are coplanar.

A

`a+b,b+c,c+a`

B

`a-b,b+c,c+a`

C

`a+b,b-c,c+a`

D

`a+b,b+c,c-a`

Text Solution

Verified by Experts

The correct Answer is:
B, C, D
`c+a(b+c)+(a-b)`
`a+b=(b-c)+(c+a)`
`a+c=(a+b++(c-a)`
So, vectors in options (b), (c) and (d) are coplanar.
Promotional Banner

Topper's Solved these Questions

  • VECTOR ALGEBRA

    ARIHANT MATHS|Exercise Exercise For Session 1|7 Videos

  • VECTOR ALGEBRA

    ARIHANT MATHS|Exercise Exercise For Session 2|17 Videos

  • TRIGONOMETRIC FUNCTIONS AND IDENTITIES

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|18 Videos

Similar Questions

Explore conceptually related problems

If vec r* vec a =0 = vec r* vec b ,where vec a and vec b are non-coplanar vectors then

Three vectors vecA, vecB and vecC add up to zero. Find which is false.

What is the value of [vec a vec b vec c] if vec a, vec b, vec c are non-zero coplanar vectors ?

If non-zero vectors veca and vecb are equally inclined to coplanar vector vecc , then vecc can be

If the angle between two vector veca and vecb is zero then

State whether the vectors hat i, hat j and hat k are coplanar or non-coplanar.

If a,b and c are non-coplanar vectors, prove that 3a-7b-4c, 3a-2b+c and a+b+2c are coplanar.

The vector veca+vecb bisects the angle between the non collinear vectors veca and vecb if ……..

If vecaxxvecb=lambda vecc for a non-zero scalar 'lambda' and non-zero vectors veca,vecb and vecc , then find veca*vecc .