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Vector operations

1. Homework Statement
Let x and y be to vectors
Verify whether |xy|<=|x|+|y| for all x,y


3. The Attempt at a Solution
My first problem with this question is that it does not tell us whether the operation xy is the same as x.y (dot product) or a cross product.
 

Answers and Replies

HallsofIvy
Science Advisor
Homework Helper
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Your are right. That is a problem. I am also surprised that is not [itex]|x|^2+ |y|^2[/itex] on the right. I suspect that they mean dot product. I suggest you look at [itex]|(x-y)\cdot(x-y)|[/itex].
 

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