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## Main Question or Discussion Point

What is the dot product of a unit vector (e) with a non-unit vector (A)? Is this some sort of identity?

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don_anon25

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don_anon25

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What is the dot product of a unit vector (e) with a non-unit vector (A)? Is this some sort of identity?

Thanks,

don_anon25

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don_anon25

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Let a be a unit vector and b be another vector. a * b = |a||b|cosθ. Since a is a unit vector, this becomes a * b = |b|cosθ. I believe that without more information, this is as far as it can be simplified.don_anon25 said:What is the dot product of a unit vector (e) with a non-unit vector (A)? Is this some sort of identity?

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don_anon25

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[tex]don_anon25 said:

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don_anon25

\hat e\cdot\vec A[/tex] is the component of [tex]\vec A[/tex] along the [tex]\hat e [/tex]-direction.

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