The figure shows vectors A and B Find D 350 A B Figure 1 Y

The figure shows vectors A and B. Find D = 3.50 A + B. (Figure 1) You may want to review(pages 70 -74). For help with math skills, you may want to review: Vector Addition Express D in the form Dx, Dy, where the x and y components are separated by a comma.

Solution

From Figure Vector A

A=2sin15 i +2cos15 j

A=0.51764 i +1.93185 j

From figure Vector B

B=4cos15 i +4sin15j

B=3.8637 i + 1.03528 j

So Vector D is

D=3.5A+B

D =3.5(0.51764 i +1.93185 j)+3.8637 i + 1.03528 j

D=5.675 i + 7.8 j

So

D_x =5.675 and D_y=7.8