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.

u = (9, -2)

Choice 'A' |u| ≈ 9.2; θ ≈ 12°
Choice 'B' |u| ≈ 12.2; θ ≈ -13°
Choice 'C' |u| ≈ 9.2; θ ≈ -13°
Choice 'D' |u| ≈ 13.2; θ ≈ 24°

@jdoe0001 @whpalmer4 @Loser66 @agent0smith

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.

u = (9, -2)
  	
Choice 'A' 	|u| ≈ 9.2; θ ≈ 12°
Choice 'B' 	|u| ≈ 12.2; θ ≈ -13°
Choice 'C' 	|u| ≈ 9.2; θ ≈ -13°
Choice 'D' 	|u| ≈ 13.2; θ ≈ 24°

@jdoe0001 @whpalmer4 @Loser66 @agent0smith

whpalmer4 · Answer

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Use Pythagorean theorem to find magnitude of vector, and simple trig ratio to find direction angle.