Question

derive parallelogram law of vector addition​

Answer 1

Answer: Derivation of the law

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.

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Answer 2

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The Triangle Law of Vector Addition states that "If two similar vectors can be represented both in magnitude and direction as two sides of a triangle taken in order, then the third side taken in the reverse order gives the resultant of two vectors both in magnitude and direction..."

The Parallelogram Law of Vector Addition states that "If two similar vectors can be represented both in magnitude and direction as two adjacent sides of a parallelogram with origins at the intersection, then the diagonal from the point of intersection gives the resultant of the two vectors, both in magnitude and direction..."

The Polygon Law of Vector Addition states that "If a number of vectors can be represented as the sides of a polygon taken in order, both in magnitude and direction, then the side which completes the polygon taken in the reverse order, gives the resultant of all the original vectors both in magnitude and direction..."

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