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For any two vectors vector v, vector w in R^n.Assume that vector v and vector w are...

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hockeyfan54 | Student | (Level 1) Salutatorian

Posted March 20, 2013 at 11:06 PM via web

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For any two vectors vector v, vector w in R^n.

Assume that vector v and vector w are parallel. Show that they are linearly dependent using the definitions of (a).

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pramodpandey | College Teacher | (Level 3) Valedictorian

Posted March 22, 2013 at 6:58 AM (Answer #1)

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Vectors V and W are parallel ,it means either angle between them is zero degree or 180 degree.

`V=+-lambdaW`

`V+-lambdaW=0`

`lambda!=0`

`` which means vectors V and W are linearly dependent

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