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Find vector u with magnitude 4 and direction 17 degrees

A) ⟨4cos(17°), 4sin(17°)⟩
B) ⟨4cos(17°), 4cos(17°)⟩
C) ⟨4sin(17°), 4sin(17°)⟩
D) ⟨4sin(17°), 4cos(17°)⟩

User Oliver Ni
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1 Answer

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Final answer:

The vector u with magnitude 4 and direction 17 degrees is ⟨4cos(17°), 4sin(17°)⟩.

Step-by-step explanation:

The correct answer is A) ⟨4cos(17°), 4sin(17°)⟩.

To find the vector u with magnitude 4 and direction 17 degrees, we can use the formula:

u = ⟨4cos(θ), 4sin(θ)⟩

where θ represents the given direction angle.

Substituting θ = 17° into the formula, we get:

u = ⟨4cos(17°), 4sin(17°)⟩

Therefore, the correct answer is A) ⟨4cos(17°), 4sin(17°)⟩.

User Eric Fossum
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