Find the component form of v given its magnitude and the angle it makes with the positive x-axis. Round your answer to four decimals.‖v‖=9,θ=150°
Question
Solution 1
To find the component form of vector v, we can use the formulas:
v_x = ‖v‖ * cos(θ) v_y = ‖v‖ * sin(θ)
Given that ‖v‖ = 9 and θ = 150°, we first need to convert the angle from degrees to radians because the trigonometric functions in most programming languages use radians, not degrees.
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