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2 years ago

What is the x-component of a vector with a magnitude of 115 km at an angle of 22°?

Physics

1 answer:

ruslelena [56]2 years ago

4 0

The x-component of a vector are < 106.6, 43.07 >

Depending on the angle we are provided, the x-component of a vector can either be cos or sin. Cos always corresponds to the right triangle's side that contacts the specified angle.

If a vector v with magnitude ||v|| makes an angle θ with the positive x-axis then,

v = ||v|| cos θi + ||v|| sin θj

= < ||v|| cos θ , ||v|| sin θ >

Magnitude p = 115 km

Angle = 22°

p = ||p|| < cos θ, sin θ >

p = 115 < cos 22°, sin 22° >

p = 115 < 0.927, 0.3746 >

p = < 106.6, 43.07 >

Therefore, the x-component of a vector are < 106.6, 43.07 >

Learn more about vectors here:

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3 years ago

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dmitriy555 [2]

Answer:

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Explanation:

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