Find the magnitude and direction of the vector <3,9>. Round angles to the nearest degree and other values to the nearest tenth. Answers:

Question

9.5; 80°
9.5; 72°
9; 72°
9; 80°

Answer 1

magnitude = sqrt (3^3 + 9^2) = sqrt (90) = 3 sqrt (10) = 9.486832981
tan theta = 9/3 = 3
theta = 71.56505118