IF A= 2x+3y and B=-x+y,then the angle between the resultant A+B and the positive directio of x-axis is ;.....

Answer 1

Ax=2, Bx= - 1 => (A+B)x=2-1=1
Ay=3, By= 1 => (A+B)y=3+1=4
tanα=(A+B)y/(A+B)x =4/1=4,
α =arctan4=76º

Answer 2

Ax=2, Bx= - 1 => (A+B)x=2-1=1
Ay=3, By= 1 => (A+B)y=3+1=4
tanα=(A+B)y/(A+B)x =4/1=4,
α =arctan4=76º