Question

vector a bar and b bar makes 20 and 110 angle. with x axis. magnitudes of these are 5 and 12 m respectively. find resultant vector .

Answer 1

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please refer the above attachment...

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Answer 2

The angle between A ⃗ and B ⃗ = 110° - 20° = 90° |A ⃗ | = 3 and |B ⃗ | = 4m Resultant R = √(A^2+B^2+2AB cos θ) = 5 m Let β be the angle between R ⃗ and A ⃗ Β = tan-1 ((4 sin⁡〖90°〗)/(3+4 cos 90°)) = tan-1 (4/3) = 53° ∴ Resultant vector makes angle (53° + 20°) = 73° with x-axis.

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