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Standard XII

Mathematics

Collinear Vectors

what is the d...

Question

what is the direction of vector (A+B) with respect to vector A and vector B respectively.

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Solution

The direction of resultant of vectors (A + B) will depend on the magnitude of vectors A and B individually.the direction of vectors A and B will be determine by using Parallelogram method of vector addition.

$\sin α = \frac{B}{R} \sin θ w h e r e R = \sqrt{A^{2} + B^{2} + 2 A B \cos θ} θ i s t h e a n g l e b e t w e e n v e c t o r A a n d B α i s t h e a n g l e b e t w e e n R a n d v e c t o r A . \tan α = \frac{B \sin θ}{A + B \cos θ}$

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