Question

Consider the vector w with magnitude 5 and direction angle 115º. Draw this vector in standard position and find its' horizontal and vertical components. Write this vector in component form, rounding each component to two decimal places.

Answer 1

(-2.11, 4.53)

Explanation:

You want the components of vector 5∠115°.

Components

The components of the vector can be found from the trig equivlaent:

5∠115° = 5(cos(115°), sin(115°)) ≈ (-2.11, 4.53)

In component form, the vector is (-2.11, 4.53).

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Additional comment

The calculator in the attachment represents vectors as complex numbers. the imaginary component corresponds to the y-component of the vector.

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