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1.State paralogram law of vector addition and derive magnitude and the direction of a resultant vector
Asked by preethiprithivi05 | 21 Feb, 2023, 21:28: PM
Law of paralellogram of addition of two vectors states that if two vectors are represented as adjacent sides of parallelogram ,

then the resultant of these two vector is diagonal of parallelogram by manitude and direction.

Fig(1) shows two given vectors and . In Fig.(2), it is shown that the given vectors are adjanct sides OA and OB of parallelogram OACB.
Then the resultant vector is diagonal OC as shown in figure. (2)
If θ is angle between vectors  and , then magnitude of resultant vector is determined by using law of cosines as shown in fig.(3)
In fig.(3) , ΔOBC is part of parallelogram shown in fig.(2) . Magnitude of side OB is magnitude of and magnitude of BC is magnitude of
OBC = ( 180 - θ ) , where θ is angle between vectors .
Magnitude of side OC equals to magnitude of resultant vector .
Magnitude of OC is determined from law of cosines as

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