Question

Write the vector v in terms of i and j whose magnitude ||v|| and direction 0 are given. ||v|| = 4, 0 = 315 degree v= (Type your answer in terms of i and j. Type an exact answer using radicals as needed.

Answer 1

v = 2√2i -2√2j

Explanation:

v = ||v||·cos(θ)i +||v||·sin(θ)j

v = 4cos(315°)i +4sin(315°)j . . . . . . fill in the numbers

v = 2√2i -2√2j . . . . . . . . . . . . . . . put in desired form