Question

Vector A has magnitude of 7.0 at an angle of 50.0 o from the x-axis. Vector B has magnitude of 5.0 at an angle of -10.0 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 C?

What is the y-component of vector C?

What is the x-component of vector D?

What is the x-component of vector V?

What is the y-component of vector D?

What is the y-component of vector V?

Answer 1

A = 7cos50 i + 7sin50 j

A = 4.499 i + 5.362 j

B = 5cos(-10)i + 5sin(-10)j

B = 4.924 i - 0.868 j

C = A + B

C = 4.499 i + 5.362 j +  4.924 i - 0.868 j

C = 9.423 i + 4.494 j

D = A - B

D = 4.499 i + 5.362 j - (4.924 i - 0.868 j)

D = -0.425 i + 6.23 j

V = 2*A - B

V = 2(4.499 i + 5.362 j) - (4.924 i - 0.868 j)

V = 8.998 i + 10.724 - 4.924 i + 0.868 j

V = 4.074 i + 11.592 j

the x-component of vector C = 9.423

the y-component of vector C = 4.494

the x-component of vector D = -0.425

the y-component of vector D = 6.23

the x-component of vector V = 4.074

the y-component of vector V = 11.592