Question

A vector has a magnitude of 20

and a direction of 260°. What
are its horizontal and vertical
components?
*
([?], [?],)
Round to the nearest hundredth.

Answer 1

(-3.47, -19.70)

Explanation:

You want the rectangular coordinate form of the vector 20∠260°.

Components

The components can be found using the relation ...

r∠θ = r·(cos(θ), sin(θ))

20∠260° = 20·(cos(260°), sin(260°)) ≈ (-3.47, -19.70)

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Additional comment

Many graphing and scientific calculators are able to translate between polar and rectangular forms of a vector. The calculator shown in the attachment uses a complex number representation of a vector. The "imaginary" component is equivalent to the y-component.

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