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Mathematics
Mathematics
Problem
The plane
a
x
+
b
y
=
0
ax+by=0
a
x
+
b
y
=
0
is rotated through an angle
α
\alpha
α
about its line of intersection with the plane
z
=
0
z=0
z
=
0
. Show that the equation to the plane in new position is
a
x
+
b
y
±
z
a
2
+
b
2
tan
α
=
0
ax+by \pm z\sqrt{a^2+b^2} \tan \alpha = 0
a
x
+
b
y
±
z
a
2
+
b
2
tan
α
=
0
.
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