Question

2. Two vectors, ~v1 and ~v2. ~v1 has a length of 12 and is oriented at an angle θ1 = 30o relative to the positive x−axis. ~v2 has a length of 6 and is oriented at an angle θ2 = 0o relative to the positive x−axis (it is aligned with the positive x−axis)

a. What are the magnitude and direction (angle) of the sum of the two vectors ( 1+2 ~v = ~v1 + ~v2)?

b. What are the magnitude and direction (angle) of the difference of the two vectors ( 1~v −2 = ~v1 − ~v2)? Suppose we again want to add a third vector, ~v3, such that the sum of all three vectors is zero; ~v1 + ~v2 + ~v3 = 0.

c. What are the magnitude and direction of the vector ~v3 which satisfies the above relationship?

( ~ is to indicate the arrow above the lines)

Answer #1

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