Which relationships hold true for the sum of the magnitudes of vectors u and v, which are perpendicular?
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check the picture below.
notice, the sum of u+v yields the red vector, and its magnitude is smaller than the sum of the other two green ones.
it is
B) ||u+v|| = sqrt ||u||2 + ||v||2
AND
D) ||u+v|| less than ||u||+||v||