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Mathematics
Mathematics
Problem
The vector
c
\mathbf{c}
c
is perpendicular to the vectors
a
=
(
2
,
−
3
,
1
)
\mathbf{a} = (2, -3, 1)
a
=
(
2
,
−
3
,
1
)
,
b
=
(
1
,
−
2
,
3
)
\mathbf{b} = (1, -2, 3)
b
=
(
1
,
−
2
,
3
)
and satisfies the condition
c
⋅
(
i
^
+
2
j
^
−
7
k
^
)
=
10
\mathbf{c} \cdot (\hat{i} + 2\hat{j} - 7\hat{k}) = 10
c
⋅
(
i
^
+
2
j
^
−
7
k
^
)
=
10
. Then, the vector
c
\mathbf{c}
c
is equal to a.
(
7
,
5
,
1
)
(7, 5, 1)
(
7
,
5
,
1
)
b.
(
−
7
,
−
5
,
−
1
)
(-7, -5, -1)
(
−
7
,
−
5
,
−
1
)
c.
(
1
,
1
,
−
1
)
(1, 1, -1)
(
1
,
1
,
−
1
)
d. None of these
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