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(Solved): Let v1,v2,,vk be an orthogonal set of vectors. Prove that v1+v2++vk2= ...
Let
v
1
,
v
2
,
…
,
v
k
be an orthogonal set of vectors. Prove that
∥
v
1
+
v
2
+
⋯
+
v
k
∥
2
=
∥
v
1
∥
2
+
∥
v
2
∥
2
+
⋯
+
∥
v
k
∥
2
Note: This is the Generalized Pythagorean Theorem.
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