12.3 scalar product.notebookherrerasmath.weebly.com/uploads/1/6/7/9/16794556/12.3_the_scalar... ·...
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![Page 1: 12.3 Scalar Product.notebookherrerasmath.weebly.com/uploads/1/6/7/9/16794556/12.3_the_scalar... · 12.3 Scalar Product.notebook Subject: SMART Board Interactive Whiteboard Notes Keywords:](https://reader033.vdocuments.net/reader033/viewer/2022051921/600f07f99d63514193628bd9/html5/thumbnails/1.jpg)
12.3 Scalar Product.notebook
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12.3 Scalar Product
![Page 2: 12.3 Scalar Product.notebookherrerasmath.weebly.com/uploads/1/6/7/9/16794556/12.3_the_scalar... · 12.3 Scalar Product.notebook Subject: SMART Board Interactive Whiteboard Notes Keywords:](https://reader033.vdocuments.net/reader033/viewer/2022051921/600f07f99d63514193628bd9/html5/thumbnails/2.jpg)
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Vector OperationsWe have looked at several vector operations:• addition• subtraction• multiplication by a scalar
Each of these operations requires
positioning vectors head to tail.
![Page 3: 12.3 Scalar Product.notebookherrerasmath.weebly.com/uploads/1/6/7/9/16794556/12.3_the_scalar... · 12.3 Scalar Product.notebook Subject: SMART Board Interactive Whiteboard Notes Keywords:](https://reader033.vdocuments.net/reader033/viewer/2022051921/600f07f99d63514193628bd9/html5/thumbnails/3.jpg)
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Vector MultiplicationMathematicians have designed two different ways to multiply vectors. Each has a different method, and each result tells us something different.
![Page 4: 12.3 Scalar Product.notebookherrerasmath.weebly.com/uploads/1/6/7/9/16794556/12.3_the_scalar... · 12.3 Scalar Product.notebook Subject: SMART Board Interactive Whiteboard Notes Keywords:](https://reader033.vdocuments.net/reader033/viewer/2022051921/600f07f99d63514193628bd9/html5/thumbnails/4.jpg)
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Vector Multiplication
Dot Product or Scalar Product
a b
The result is a scalar quantity
Cross Product or Vector Product
a x b
The result is a vector
![Page 5: 12.3 Scalar Product.notebookherrerasmath.weebly.com/uploads/1/6/7/9/16794556/12.3_the_scalar... · 12.3 Scalar Product.notebook Subject: SMART Board Interactive Whiteboard Notes Keywords:](https://reader033.vdocuments.net/reader033/viewer/2022051921/600f07f99d63514193628bd9/html5/thumbnails/5.jpg)
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Scalar ProductDot Product
![Page 10: 12.3 Scalar Product.notebookherrerasmath.weebly.com/uploads/1/6/7/9/16794556/12.3_the_scalar... · 12.3 Scalar Product.notebook Subject: SMART Board Interactive Whiteboard Notes Keywords:](https://reader033.vdocuments.net/reader033/viewer/2022051921/600f07f99d63514193628bd9/html5/thumbnails/10.jpg)
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