Question

Define the following in your own words: dot product, inner product, and cross product.

Answer 1

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==> The dot product is the sum of the products of the corresponding entries of the two sequences of numbers .

==> An inner product space is a vector space with an additional structure called an inner product .

==> The cross product or vector product is a binary operation on two vectors in three - dimensional space and is denoted by the symbol .

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Answer 2

Answer:

Algebraically, the dot product is the sum of the products of the corresponding entries of the two sequences of numbers. Geometrically, it is the product of the Euclidean magnitudes of the two vectors and the cosine of the angle between them.

Inner Product. An inner product is a generalization of the dot product. In a vector space, it is a way to multiply vectors together, with the result of this multiplication being a scalar.

The cross product a × b is defined as a vector c that is perpendicular (orthogonal) to both a and b, with a direction given by the right-hand rule and a magnitude equal to the area of the parallelogram that the vectors span.

Step-by-step explanation: