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14 Oct 2011 01:37:51 IST

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Define the dot products of 2 vectors

Mathematics

Define the dot products of 2 vectors

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sanju

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Joined: 6 Oct 2011

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14 Oct 2011 19:31:48 IST

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dot product is a product of a vector with another vector in the direction of the former vector in simpler words if a man pulls a block on the ground such that the force makes an angle with the horizontal then the work done is the dot product of the displacement and the component of the force along the direction of displacement or force and component of the displacement alonf the direction of the force W=F.Scos[theta]it always give a vector as it involves magnitude of two vectors and doesn't deal with direction

edison

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11 Nov 2011 17:09:57 IST

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Dot Product or Scalar Product

Scalar Product of Vectors

The scalar product and the vector product are the two ways of multiplying vectors which see the most application in physics and astronomy. The scalar product of two vectors can be constructed by taking the component of one vector in the direction of the other and multiplying it times the magnitude of the other vector. This can be expressed in the form:

If the vectors are expressed in terms of unit vectors i, j, and k along the x, y, and z directions, the scalar product can also be expressed in the form:

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