If vector A is 2.8km due south, B is due east, and A+B=4.86?

Question

If vector A is 2.8 km due south, vector B points due east, and A-B has a magnitude of 4.86km, then what would the magnitude of vetor B be and what would the direction of A-B relative to due south?

Answer 1

If I understood you correctly, you have:

+-----> B

|.\

|..\

|....\4.86 km

|.....\

v.....v

A

B = √A-B² - A²

B = √4.86² - 2.8²

B = √15.7796

B = 3.97

arcsine(θ) = 3.97/4.86

You can figure the angle.