Trigonometry ??????
posted by Elena
If vector a= (10,10) and vector b= (4,5)
then a+b ≠ a + b. Explain.
I don't understand what this question is exactly asking, and I'm not sure how to answer it. Please explain. Thank you very much!!!

Steve
to explain, just evaluate:
a = √200
b = √41
a+b = (14,15)
a+b = √394 19.85
a+b = √200+√41 = 20.55
Seems clear to me.
if a and b are two sides of a parallelogram, a+b is the diagonal.
Clearly the indicated values cannot be equal unless a is parallel to b.
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