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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 on theme: "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."— Presentation transcript:

1 Dot Product and Orthogonal

2 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.

3 Dot product

4 Examples

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

6

7 Example:

8 Parallel Vectors

9 Orthogonal

10 The Zero Vector

11 Homework Page 719 #1-32 ALL


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