Question: Find the scalar product of two vector?

Posted by: Pratilsha on 15.01.2021

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:

A(VECTOR).B(VECTOR)=ABCOS(Ɵ)

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:The scalar product is also called the "inner product" or the "dot product" .

Scalar product of two vector is product of magnitude of two non zero vector and cosine of angle between two vector.

The scalar product is also called as dot product. It is called as scalar product since we find a scalar quantity after the product.

Let’s consider two vectors  and  . Then their scalar (dot) product is given by

Where  are the magnitudes of the vectors and θ are is the angle between them.

It is also defined as the product of one vector and the projection of another vector on the former vector.

Where Acosθ is the projection of A vector on vector B.

The scalar product of two vectors can be constructed by taking the component of one vector in the direction of other and multiplying it times the magnitude of the other vector.

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