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Physics XI Notes for Physics Notes

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Parallelogram Law Of Vector Addition

Addition of vectors

Parallelogram law of vector addition

According to the parallelogram law of vector addition:
“If two vector quantities are represented by two adjacent sides or a parallelogram then the diagonal of parallelogram will be equal to the resultant of these two vectors.”

Explanation

Consider two vectors image1 and image2.
Let the vectors have the following orientation

image3

parallelogram of these vectors is :

image4

According to parallelogram law:

image5

Magnitude Of resultant Vector
Magnitude of resultant vector can be determined by using either sine law or cosine law.

image6

image7

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