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27 April, 17:34

Determine whether the statement is true or false. If it is true, explain why. If it is false, explain why or give an example that disaproves the statement.

If u and v are in V3, then |u. v|<-|u|.|v|

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  1. 27 April, 17:54
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    This statement is true for any N vectorial space.

    By definition u·v=|u|·|v|·cos (α), where α is the angle between u and v.

    If - 1≤cos (α) ≤1, we can assume:

    |u·v|=||u|·|v|·cos (α) |=|u|·|v|·|cos (α) |≤|u|·|v|
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