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Parllelogram law of vactor addition proof |
Answer» Let P and Q be two vectors acting simultaneously at a point and represented both in magnitude and direction by two adjacent sides OA and OD of a parallelogram OABD as shown in figure.Let θ be the angle between P and Q and R be the resultant vector. Then, according to parallelogram law of vector addition, diagonal OB represents the resultant of P and Q.So, we have R = P + QNow, expand A to C and draw BC perpendicular to OC.From triangle OCB, In triangle ABC, Also, Magnitude of resultant:Substituting value of AC and BC in (i), we get | |