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Mathematics
Problem
If
a
⃗
=
i
^
+
2
j
^
−
3
k
^
\vec{a} = \hat{i} + 2\hat{j} - 3\hat{k}
a
=
i
^
+
2
j
^
−
3
k
^
and
b
⃗
=
3
i
^
−
j
^
+
2
k
^
\vec{b} = 3\hat{i} - \hat{j} + 2\hat{k}
b
=
3
i
^
−
j
^
+
2
k
^
, show that
(
a
⃗
+
b
⃗
)
(\vec{a} + \vec{b})
(
a
+
b
)
is perpendicular to
(
a
⃗
−
b
⃗
)
(\vec{a} - \vec{b})
(
a
−
b
)
.
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