Vector Algebra Question 4
Question: $\vec{a}$ and $\vec{b}$ are two non-collinear vectors, then $x \vec{a}+y \vec{b}$ (where $x$ and $y$ are scalars) represents a vector which is
[MP PET 2003]
Options:
A) Parallel to $\vec{b}$
B) Parallel to $\vec{a}$
C) Coplanar with $\vec{a}$ and $\vec{b}$
D) None of these
Show Answer
Answer:
Correct Answer: C
Solution:
- $ x\mathbf{a}+y\mathbf{b} $ represents a vector coplanar with a and b.