question archive Consider a vector u=(-1, 0, 2, 2) and v=(1, 2, 0, 2)a) Find the vector projection p, of v along u
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Consider a vector u=(-1, 0, 2, 2) and v=(1, 2, 0, 2)a) Find the vector projection p, of v along u.
b) verify that n=v-p is perpendicular to u.
c)Using same logic, find a vector perpendicular to v.
d)Verify that Pythagoras law hold for u and v.
e) Verify the Schwarz inequality for u and v.