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Mathematics
Mathematics
Problem
Find the foot of perpendicular drawn from the point
2
i
^
−
j
^
+
5
k
^
2\hat{i} - \hat{j} + 5\hat{k}
2
i
^
−
j
^
+
5
k
^
to the line
r
=
(
11
i
^
−
2
j
^
−
8
k
^
)
+
λ
(
10
i
^
−
4
j
^
−
11
k
^
)
.
\mathbf{r} = (11\hat{i} - 2\hat{j} - 8\hat{k}) + \lambda(10\hat{i} - 4\hat{j} - 11\hat{k}).
r
=
(
11
i
^
−
2
j
^
−
8
k
^
)
+
λ
(
10
i
^
−
4
j
^
−
11
k
^
)
.
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