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Problem
Problem
If
P
+
Q
=
R
\mathbf{P} + \mathbf{Q} = \mathbf{R}
P
+
Q
=
R
and
P
−
Q
=
S
\mathbf{P} - \mathbf{Q} = \mathbf{S}
P
−
Q
=
S
, prove that
R
2
+
S
2
=
2
(
P
2
+
Q
2
)
R^2 + S^2 = 2(P^2 + Q^2)
R
2
+
S
2
=
2
(
P
2
+
Q
2
)
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