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Home Vectors Product of Vectors Inner Product Definition of the Inner Product
 
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Definition of the Inner Product

DEFINITION

Two Dimensions:

The inner product of

A = a1i + a2j and B = b1i + b2j

is the scalar

A · B = a1b1, + a2b2.

Three Dimensions:

The inner product of

A = a1i + a2j + a3k and B = b1i + b2j + b3k

is the scalar

A · B = a1b1 + a2b2 + a3b3.

Thus the cost of a commodity vector A at the price vector P is equal to the inner product of P and A, cost = P · A.

Example 1: Inner Product
Example 2: Cost
Example 3: Profit
Example 4: Buying

Home Vectors Product of Vectors Inner Product Definition of the Inner Product

Last Update: 2006-11-06