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If veca,vecb and vecc are three non-copl...

If `veca,vecb` and `vecc` are three non-coplanar vectors, then the vector equation `vecr-(1-p-q)veca+pvecb+qvecc` represents a

A

straight line

B

plane

C

plane pasing through the origin

D

sphere

Text Solution

Verified by Experts

The correct Answer is:
B
We have
`vecr=(1-p-1)veca+pvecb+qvecc`
`impliesvecr=veca+p(vecb-veca)+(vecc-veca)`
Clearly, it represents a plane passing through a point having position vector `veca` and parallel to the vector `vecb-veca` and `vecc-veca`.
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