The sum of vectors P and Q is given by the vector R, the resultant sum vector using the parallelogram law of vector addition. If the resultant vector R makes an angle ϕ with the vector P, then the formulas for its magnitude and direction are: |R| = √(P2 + Q2 + 2PQ cos θ)
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Answer:
Parallelogram Law of Vector Addition Formula
The sum of vectors P and Q is given by the vector R, the resultant sum vector using the parallelogram law of vector addition. If the resultant vector R makes an angle ϕ with the vector P, then the formulas for its magnitude and direction are: |R| = √(P2 + Q2 + 2PQ cos θ)
Explanation:
R=A+B
R=RxI + RyJ
Where
Rx=Ax+Bx
and
Ry=Ay+By
R=A+B
R=RxI+RxJ+RxK
where
Rx=Ax+Bx
and
Ry=Ay+By
and
Rz=Az-Bz
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