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Mathematics
Mathematics
Problem
The co-ordinates of the point
P
P
P
on the line
r
=
(
i
^
+
j
^
+
k
^
)
+
λ
(
−
i
^
+
j
^
−
k
^
)
\mathbf{r} = (\hat{i} + \hat{j} + \hat{k}) + \lambda (-\hat{i} + \hat{j} - \hat{k})
r
=
(
i
^
+
j
^
+
k
^
)
+
λ
(
−
i
^
+
j
^
−
k
^
)
which is nearest to the origin is a.
(
2
3
,
4
3
,
2
3
)
\left(\frac{2}{3}, \frac{4}{3}, \frac{2}{3}\right)
(
3
2
,
3
4
,
3
2
)
b.
(
−
2
3
,
−
4
3
,
2
3
)
\left(-\frac{2}{3}, -\frac{4}{3}, \frac{2}{3}\right)
(
−
3
2
,
−
3
4
,
3
2
)
c.
(
2
3
,
4
3
,
−
2
3
)
\left(\frac{2}{3}, \frac{4}{3}, -\frac{2}{3}\right)
(
3
2
,
3
4
,
−
3
2
)
d. None of these
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