Question

A vector a makes an angle of 30 degrees and vector b makes an angle of 120 degrees with the x-axis. The magnitude of these vectors are 3 and 4 respectively. The magnitude of their resultant is

Answer 1

Angle made by vector A = 20°

Angle made by vector B = 110°

Angle between vector A and vector B = 110° - 20° = 90°

As given in question,

Magnitude of vector A , |A| = 3 m

Magnitude of vector B , |B| = 4 m

Resultant will be , R = √(A² + B²+2AB cosΘ) = 5 m

Let T be the angle between R vector and A vector.

T = tan⁻¹[(4sin90°)/(3 + 4cos90°)] = tan⁻1(4/3) = 53°

So, the resultant vector makes angle = (53° + 20°) = 73°

So, the resultant vector makes angle = (53° + 20°) = 73°And also , 73° with respect to x-axis.

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Answer 2

Explanation:

magnitude of resultant is ....5 unit ..

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