A vector makes an angle of 20 o and makes an angle of 110 o with the X-axis. the magnitudes of these vectors are 3 m and 4 m respectively. Find the resultant.

Question

Philoid · Accepted Answer

From the figure given,

The angle between vector and is 110^o -20^o = 90^o

The magnitude of the vector and

The magnitude of resultant vector is given by

Let β be the angle between the resultant and the vector , then tan β= = 4/3 =53.13⁰

Hence, the resultant makes an angle 20^o+53.13⁰= 73.13⁰ with x-axis.

A vector makes an angle of 20o and makes an angle of 110o with the X-axis. the magnitudes of these vectors are 3 m and 4 m respectively. Find the resultant.

A vector makes an angle of 20^o and makes an angle of 110^o with the X-axis. the magnitudes of these vectors are 3 m and 4 m respectively. Find the resultant.