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Amit Saxena Grade: upto college level
         A vector A ⃗ makes an angle of 20° and B ⃗ makes an angle of 110° with the X-axis. The magnitudes of these vectors are 3 m and 4 m respectively. Find the resultant.
3 years ago

Answers : (1)

Navjyot Kalra
askIITians Faculty
654 Points
										Sol. As shown in the figure,

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.
3 years ago
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