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When do the Cauchy-Schwarz inequality and triangle inequality hold equality? Could this be explained algebraically pls
 

carrotsss

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They are equal when both x and y are positive or both negative

e.g. For x,y >= 0

|x| + |y| = x + y

|x + y| = x + y

For vectors the same holds except they just have the be in the same direction rather than sign
 

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