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Mathematics
Mathematics
Problem
Find the angle between the vectors
a
+
b
\mathbf{a} + \mathbf{b}
a
+
b
and
a
−
b
\mathbf{a} - \mathbf{b}
a
−
b
, if
a
=
2
i
^
−
j
^
+
3
k
^
\mathbf{a} = 2\hat{i} - \hat{j} + 3\hat{k}
a
=
2
i
^
−
j
^
+
3
k
^
and
b
=
3
i
^
+
j
^
−
2
k
^
\mathbf{b} = 3\hat{i} + \hat{j} - 2\hat{k}
b
=
3
i
^
+
j
^
−
2
k
^
.
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