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Mathematics
Problem
If
a
⃗
\vec{a}
a
,
b
⃗
\vec{b}
b
,
c
⃗
\vec{c}
c
are three mutually perpendicular vectors of equal magnitude, prove that
a
⃗
+
b
⃗
+
c
⃗
\vec{a}+\vec{b}+\vec{c}
a
+
b
+
c
is equally inclined with vectors
a
⃗
\vec{a}
a
,
b
⃗
\vec{b}
b
and
c
⃗
\vec{c}
c
. Also, find the angle.
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