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Mathematics
Mathematics
Problem
If the vectors
a
=
i
^
−
j
^
+
2
k
^
\mathbf{a} = \hat{i} - \hat{j} + 2\hat{k}
a
=
i
^
−
j
^
+
2
k
^
,
b
=
2
i
^
+
4
j
^
+
k
^
\mathbf{b} = 2\hat{i} + 4\hat{j} + \hat{k}
b
=
2
i
^
+
4
j
^
+
k
^
and
c
=
λ
i
^
+
j
^
+
μ
k
^
\mathbf{c} = \lambda\hat{i} + \hat{j} + \mu\hat{k}
c
=
λ
i
^
+
j
^
+
μ
k
^
are mutually orthogonal, then
(
λ
,
μ
)
(\lambda, \mu)
(
λ
,
μ
)
is equal to a.
(
−
3
,
2
)
(-3, 2)
(
−
3
,
2
)
b.
(
2
,
−
3
)
(2, -3)
(
2
,
−
3
)
c.
(
−
2
,
3
)
(-2, 3)
(
−
2
,
3
)
d.
(
3
,
−
2
)
(3, -2)
(
3
,
−
2
)
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