## Related questions with answers

Question

Let u, v, and w be pairwise orthogonal vectors. (a) Show that

$\| \mathbf { u } + \mathbf { v } + \mathbf { w } \| ^ { 2 } = \| \mathbf { u } \| ^ { 2 } + \| \mathbf { v } \| ^ { 2 } + \| \mathbf { w } \| ^ { 2 }$

. (b) If u, v, and w are all the same length, show that they all make the same angle with u+v+w.

Solution

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