Vector Algebra Question 173

Question: If a, b, c are three non-coplanar vectors, then the vector equation $ \mathbf{r}=(1-\mathbf{p}-\mathbf{q}),\mathbf{a}+p\mathbf{b}+q\mathbf{c} $ represents a

[EAMCET 2003]

Options:

A) Straight line

B) Plane

C) Plane passing through the origin

D) Sphere

Show Answer

Answer:

Correct Answer: B

Solution:

  • If $ \mathbf{a},,\mathbf{b},,\mathbf{c} $ are non-coplanar vectors then the vector equation $ \mathbf{r}=(1-p-q),\mathbf{a}+p\mathbf{b}+q\mathbf{c} $ represents a plane.