4
QuizMultiple Choice

Applying Vectors in the Plane — Quiz

Question 4 • Precalculus

An airplane travels at 300 mph in the direction cap s 45 degrees cap e What is the component form of the velocity vector?

Answer
A
⟨150⁢2, 150⁢2⟩
B
⟨−150⁢2, 150⁢2⟩
C
langle 150 square root of 2 comma negative 150 square root of 2 rangle
D
langle minus 150 square root of 2 comma negative 150 square root of 2 rangle

Explanation

The direction S 45° E means 45° east of south, so the velocity has a positive east component and a negative north–south component. Since the angle is 45°, both component magnitudes are 300 cos 45° = 300(√2/2) = 150√2. Thus the component form is ⟨150√2, −150√2⟩, choice C.

AI-written and checked against the verified answer.

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