Question

Vector A has magnitude of 6.0 at an angle of 40.0 ^o from the x-axis. Vector B has magnitude of 9.0 at an angle of -60.0 ^o from the x-axis. Let C=A+B. Let D=A-B. Let V=2*A-B.

What is the x-component of Vector V?

What is the y-component of vector V?

Answer 1

vector A can be written in the x-component and y-component as

  

Similarly B can be written as

now vector V can be written as

V = 2*A - B

Hence the X-component of V is 4.692

and Y componet of V is 15.498