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Mathematics
Mathematics
Problem
Let
a
=
i
^
+
j
^
\mathbf{a} = \hat{i} + \hat{j}
a
=
i
^
+
j
^
and
b
=
2
i
^
−
k
^
\mathbf{b} = 2\hat{i} - \hat{k}
b
=
2
i
^
−
k
^
, then the point of intersection of the lines
r
×
a
=
b
×
a
\mathbf{r} \times \mathbf{a} = \mathbf{b} \times \mathbf{a}
r
×
a
=
b
×
a
and
r
×
b
=
a
×
b
\mathbf{r} \times \mathbf{b} = \mathbf{a} \times \mathbf{b}
r
×
b
=
a
×
b
is a.
(
3
,
−
1
,
1
)
(3, -1, 1)
(
3
,
−
1
,
1
)
b.
(
3
,
1
,
−
1
)
(3, 1, -1)
(
3
,
1
,
−
1
)
c.
(
−
3
,
1
,
1
)
(-3, 1, 1)
(
−
3
,
1
,
1
)
d.
(
−
3
,
−
1
,
−
1
)
(-3, -1, -1)
(
−
3
,
−
1
,
−
1
)
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