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Mathematics
Mathematics
Problem
Find the unit vector perpendicular to each of the vectors
(
a
⃗
+
b
⃗
)
(\vec{a} + \vec{b})
(
a
+
b
)
and
(
a
⃗
−
b
⃗
)
(\vec{a} - \vec{b})
(
a
−
b
)
where
a
⃗
=
i
^
+
j
^
+
k
^
,
b
⃗
=
i
^
+
2
j
^
+
3
k
^
.
(
J-15, M-19
)
\vec{a} = \hat{i} + \hat{j} + \hat{k}, \quad \vec{b} = \hat{i} + 2\hat{j} + 3\hat{k}. \quad (\text{J-15, M-19})
a
=
i
^
+
j
^
+
k
^
,
b
=
i
^
+
2
j
^
+
3
k
^
.
(
J-15, M-19
)
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