Vector A has a magnitude of 10 units and makes an angle of 30^ with the positive X -axis. Vector B has a magnitude of 20 units and makes an angle of 30^ with the negative X -axis. What is the magnitude of the resultant between these two vectors?

Step-by-step solution

Given, gathered A=10 units B=20 units =30^ gathered The given situation is shown in the figure. The angle between A and B , =180^ -30^ -30^ =120^ Magnitude of the resultant vector, aligned R &= A²+B²+2 A B &= 10²+20²+2 10 20 120^ &= 100+400-200 &=10 3 aligned