Question

A vector A makes an angle of 20 degree and B makes an angle of 110 degree with the x-axis. The magnitude of this vectors are 3 m and 4 m respectively. find the resultant

Answer 1

hi,

SOLUTION::

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°

And also , 73° with respect to x-axis.

Hope it helps!

PLEASE MARK AS BRAINLIST!!