February 22, 2017

Homework Help: Calculus III- Please Help

Posted by Joy on Monday, January 30, 2012 at 6:28pm.

2. Use the properties of the dot product to show that (⃗b·⃗c)a−(⃗a·⃗c)⃗b is perpendicular to ⃗c.
Must be shown for arbitrary vectors.

I have tried to assign each vector (b,a,c) arbitrary identities with unit vectors i,j,k, but I'm really stuck. Any help would be greatly appreciated.

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