Question
Download Solution PDFPQRS is a parallelogram. If and , then what is equal to ?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept:
The diagonals of the parallelogram bisect each other.
In a triangle PQR,
For any vector
Calculation:
Given:
Let the diagonals of the parallelogram intersect each other at O.
⇒
(∵ The diagonals of the parallelogram bisect each other.)
As,
⇒
From (1) and (2),
⇒
Now in triangle PQO,
⇒
⇒
Putting the values from equation (3),
⇒
⇒
∴ The correct option. is (4) .
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