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Mathematics
Problem
Find the value of
λ
\lambda
λ
for which
a
⃗
\vec{a}
a
and
b
⃗
\vec{b}
b
are perpendicular, where [CBS a.
a
⃗
=
2
i
^
+
λ
j
^
+
k
^
\vec{a} = 2\hat{i} + \lambda\hat{j} + \hat{k}
a
=
2
i
^
+
λ
j
^
+
k
^
and
b
⃗
=
(
i
^
−
2
j
^
+
3
k
^
)
\vec{b} = (\hat{i} - 2\hat{j} + 3\hat{k})
b
=
(
i
^
−
2
j
^
+
3
k
^
)
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