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Mathematics
Problem
If
V
⃗
=
2
i
^
+
j
^
−
k
^
\vec{V} = 2\hat{i} + \hat{j} - \hat{k}
V
=
2
i
^
+
j
^
−
k
^
and
W
⃗
=
i
^
+
3
k
^
\vec{W} = \hat{i} + 3\hat{k}
W
=
i
^
+
3
k
^
. If
U
⃗
\vec{U}
U
is a unit vector, then what is the maximum value of the scalar triple product
[
"
U
⃗
V
⃗
W
⃗
"
]
["\vec{U} \\ \vec{V} \\ \vec{W}"]
[
"
U
V
W
"
]
? a.
−
1
-1
−
1
b.
10
+
6
\sqrt{10} + \sqrt{6}
10
+
6
c.
59
\sqrt{59}
59
d.
60
\sqrt{60}
60
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