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.