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Transcript of 12.3 Scalar Product.notebookherrerasmath.weebly.com/uploads/1/6/7/9/16794556/12.3_the_scalar... ·...
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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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