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12.3 Scalar Product.notebook

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12.3 Scalar Product

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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.

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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.

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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

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Scalar ProductDot Product

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