obtain the expression of magnitude and direction for the resultant of two vectors making an angle tita between them

Question

The magnitude of the resultant vector of two equal vectors is equal to the magnitude of either vector .What is the angle btween da 2 vector?

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Answer 1

Hi

Parallelogram law states that if two vectors are considered to be the adjacent sides of a Parallelogram, then the resultant of two vectors is given by the vector which is a diagonal passing through the point of contact of two vectors.

According to parallelogram law of vectors the resultant is represented by the diagonal passing through the point of contact of two vectors.

R2=(P+Qcosθ)2+(Qsinθ)2=P2+Q2+2PQcosθ

Resultant acts in the direction making an angle α=tan −1 (Q sin θ/ P + Q cosθ ) with direction of vector P .

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obtain the expression of magnitude and direction for the resultant of two vectors making an angle tita between them

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