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

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Answer:

Correct Answer: C

Solution:

  • $ x\mathbf{a}+y\mathbf{b} $ represents a vector coplanar with a and b.