Arturo O. answered • 09/11/18
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Essentially, it is the projection of one vector into another, resulting in a scalar.
Arturo O.
To project a vector into another, you must multiply the product of their magnitudes by the cosine of the angle between them. That is why
A·B = |A| |B|cosθ,
where θ is the angle between A and B.
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09/11/18
M.rahim S.
so in the formula of w=fd why we donot use vector product and why we use scalar product?
what is the logic that where we should use scalar and vector product?
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09/11/18
Arturo O.
In order for work to be done by a force, there has to be displacement along the direction of the force, so work W is
W = F·d = |F| |d| cosθ
If there is no displacement along the direction of the force, θ = 90° and W = 0.
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09/11/18
Arturo O.
The vector product is a different concept unrelated to the scalar product.
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09/11/18
M.rahim S.
09/11/18