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Can we find the angle between resultant and one of its vectors without breaking into components?

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- Thread starter Gurasees
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- #1

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Can we find the angle between resultant and one of its vectors without breaking into components?

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sophiecentaur

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Can we find the angle between resultant and one of its vectors without breaking into components?

Sure, if you think using sine and cosine laws are easier. It usually isn’t.

This is also a math question, not physics.

Zz.

- #4

A.T.

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How are the vectors given, if not as components? How many vectors are added to get the resultant vector?Can we find the angle between resultant and one of its vectors without breaking into components?

- #5

Svein

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Mathematically yes, since the angle between the vectors A and B is given by [itex]\cos(\phi)=\frac{\vec{A}\cdot \vec{B}}{\vert \vec{A}\vert\vert \vec{B}\vert} [/itex]. Calculating the inner product of two vectors is left as an assignment for the student.Can we find the angle between resultant and one of its vectors without breaking into components?

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Thank youhaveto use components. But 20 million flies can't be wrong and using components is usually the most convenient way.

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Thank youMathematically yes, since the angle between the vectors A and B is given by [itex]\cos(\phi)=\frac{\vec{A}\cdot \vec{B}}{\vert \vec{A}\vert\vert \vec{B}\vert} [/itex]. Calculating the inner product of two vectors is left as an assignment for the student.

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