SOLUTION: Each of angles b/t the vectors u,v,& w is 60. ||u||= 4. . ||v||=2 & ||w||=6 Then find ||u+v+w||

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Question 1183181: Each of angles b/t the vectors u,v,& w is 60. ||u||= 4. . ||v||=2 & ||w||=6
Then find ||u+v+w||

Answer by robertb(5830)   (Show Source): You can put this solution on YOUR website!
Use the fact that and , where is the magnitude of the vector , and is the dot product of the vectors and .
Then , by direct application of the distributive, commutative, and associative properties.
Now


= since

=, since

= 16 + 4 + 36 + 8 + 12 + 24 = 100.

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