Are the vectors equivalent? find the component form.

Question

vector PQ and vector RS where P=(0,0) Q=(-3,-2) R=(7, -3) S=(4, -5)

Answer 1

(0,0) to (-3,-2) has magnitude sqr(9+4) = sqr13

it has direction tan^-1(-2/-3) = about 56.31 but in quadrant III is 236.31 degrees

(7,-3) to (4,-5) has magnitude = sqr(9+4) = sqr13

it has direction tan^-1(2/3) = about 56.31 degrees + 180 = 236.31 in quadrant III

same direction and same magnitude means PQ and RS are the same vector