Question

Find the magnitude and direction angle θ of the following vectors. Round the magnitude to the nearest tenth, and round the direction angle to the nearest degree, if rounding is necessary.

v = (-5, -2)

Choice 'A' |v| ≈ 5.4; θ ≈ 22°
Choice 'B' |v| ≈ 5.4; θ ≈ -22°
Choice 'C' |v| ≈ 26.4; θ ≈ 7°
Choice 'D' |v| ≈ 5.4; θ ≈ 12°

Answer 1

\(\large \vec{v}= (x, y)\)



\(\large |\vec{v}| = \sqrt{x^2+y^2}\)


\(\large \theta = \tan^{-1}(\frac{y}{x})\)