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Mathematics
Problem
Identify which of the following expressions always gives a unit vector perpendicular to two non-parallel vectors
a
\mathbf{a}
a
and
b
\mathbf{b}
b
: a)
(
a
×
b
)
/
(
∣
a
∣
∣
b
∣
)
(\mathbf{a}\times\mathbf{b})/(|\mathbf{a}|\,|\mathbf{b}|)
(
a
×
b
)
/
(
∣
a
∣
∣
b
∣
)
b)
(
a
×
b
)
/
∣
a
×
b
∣
(\mathbf{a}\times\mathbf{b})/\lvert\mathbf{a}\times\mathbf{b}\rvert
(
a
×
b
)
/
∣
a
×
b
∣
c)
a
×
b
\mathbf{a}\times\mathbf{b}
a
×
b
d)
(
a
+
b
)
/
∣
a
+
b
∣
(\mathbf{a}+\mathbf{b})/\lvert\mathbf{a}+\mathbf{b}\rvert
(
a
+
b
)
/
∣
a
+
b
∣
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