Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Vectors

Question:

If OACB is a parallelogram with $\vec{OC} = \vec a$ and $\vec{AB} = \vec b$, then $\vec{OA} =$

Options:

$\vec a+\vec b$

$\vec a-\vec b$

$\frac{1}{2}(\vec b-\vec a)$

$\frac{1}{2}(\vec a-\vec b)$

Correct Answer:

$\vec a-\vec b$

Explanation:

In ΔOAC, we have

$\vec{OA}+\vec{AC}=\vec{OC}⇒ \vec{OA}+\vec b=\vec a⇒\vec{OA}=\vec a-\vec b$