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Mathematics
Problem
If
a
=
6
i
^
+
7
j
^
+
7
k
^
a = 6\hat{i} + 7\hat{j} + 7\hat{k}
a
=
6
i
^
+
7
j
^
+
7
k
^
,
b
=
3
i
^
+
2
j
^
−
2
k
^
b = 3\hat{i} + 2\hat{j} - 2\hat{k}
b
=
3
i
^
+
2
j
^
−
2
k
^
,
P
(
1
,
2
,
3
)
P(1, 2, 3)
P
(
1
,
2
,
3
)
The position vector of
L
L
L
, the foot of the perpendicular from
P
P
P
on the line
r
=
a
+
λ
b
r = a + \lambda b
r
=
a
+
λb
is a.
6
i
^
+
7
j
^
+
7
k
^
6\hat{i} + 7\hat{j} + 7\hat{k}
6
i
^
+
7
j
^
+
7
k
^
b.
3
i
^
+
2
j
^
−
2
k
^
3\hat{i} + 2\hat{j} - 2\hat{k}
3
i
^
+
2
j
^
−
2
k
^
c.
3
i
^
+
5
j
^
+
9
k
^
3\hat{i} + 5\hat{j} + 9\hat{k}
3
i
^
+
5
j
^
+
9
k
^
d.
9
i
^
+
9
j
^
+
5
k
^
9\hat{i} + 9\hat{j} + 5\hat{k}
9
i
^
+
9
j
^
+
5
k
^
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