Dot Product and Orthogonal. Dot product…? Does anyone here know the definition of work? Is it the same as me saying I am standing here working hard? To.

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Presentation transcript:

Dot Product and Orthogonal

Dot product…? Does anyone here know the definition of work? Is it the same as me saying I am standing here working hard? To understand what is involved in real work, we turn to a new vector operation called the dot product. The dot product of two vectors result in a scalar (a real number) This is different from the other 2 vector operations you learned (vector addition and scalar multiplication) which their results were vectors.

Dot product

Examples

Deriving an alternate Dot Product Formula (based on the angle between the vectors) u w v

Example:

Parallel Vectors

Orthogonal

The Zero Vector

Homework Page 719 #1-32 ALL

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