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Mathematics
Mathematics
Problem
If
a
\mathbf{a}
a
,
b
\mathbf{b}
b
and
c
\mathbf{c}
c
are three vectors such that
a
=
b
+
c
\mathbf{a} = \mathbf{b} + \mathbf{c}
a
=
b
+
c
and the angle between
b
\mathbf{b}
b
and
c
\mathbf{c}
c
is
π
2
\frac{\pi}{2}
2
π
, then a.
a
2
=
b
2
+
c
2
a^2 = b^2 + c^2
a
2
=
b
2
+
c
2
b.
b
2
=
c
2
+
a
2
b^2 = c^2 + a^2
b
2
=
c
2
+
a
2
c.
c
2
=
a
2
+
b
2
c^2 = a^2 + b^2
c
2
=
a
2
+
b
2
d.
2
a
2
−
b
2
=
c
2
2a^2 - b^2 = c^2
2
a
2
−
b
2
=
c
2
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