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Mathematics
Problem
If
a
⃗
=
(
−
3
i
^
+
4
j
^
−
7
k
^
)
\vec{a} = (-3\hat{i} + 4\hat{j} - 7\hat{k})
a
=
(
−
3
i
^
+
4
j
^
−
7
k
^
)
and
b
⃗
=
(
6
i
^
+
2
j
^
−
3
k
^
)
\vec{b} = (6\hat{i} + 2\hat{j} - 3\hat{k})
b
=
(
6
i
^
+
2
j
^
−
3
k
^
)
, find
(
a
⃗
×
b
⃗
)
(\vec{a} \times \vec{b})
(
a
×
b
)
. Verify that (i)
a
⃗
\vec{a}
a
and
(
a
⃗
×
b
⃗
)
(\vec{a} \times \vec{b})
(
a
×
b
)
are perpendicular to each other a.
a
⃗
\vec{a}
a
and
(
a
⃗
×
b
⃗
)
(\vec{a} \times \vec{b})
(
a
×
b
)
are perpendicular to each other
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