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Mathematics
Mathematics
Problem
Find the equation of the plane which passes through
a
1
x
+
b
1
y
+
c
1
z
+
d
1
=
0
a_1x + b_1y + c_1z + d_1 = 0
a
1
x
+
b
1
y
+
c
1
z
+
d
1
=
0
,
a
2
x
+
b
2
y
+
c
2
z
+
d
2
=
0
a_2x + b_2y + c_2z + d_2 = 0
a
2
x
+
b
2
y
+
c
2
z
+
d
2
=
0
and which is parallel to the line
x
−
α
l
=
y
−
β
m
=
z
−
γ
n
\frac{x-\alpha}{l} = \frac{y-\beta}{m} = \frac{z-\gamma}{n}
l
x
−
α
=
m
y
−
β
=
n
z
−
γ
.
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