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Mathematics
Problem
Consider the plane
(
x
,
y
,
z
)
=
(
0
,
1
,
1
)
+
λ
(
1
,
−
1
,
1
)
+
μ
(
2
,
−
1
,
0
)
(x, y, z) = (0, 1, 1) + \lambda(1, -1, 1) + \mu(2, -1, 0)
(
x
,
y
,
z
)
=
(
0
,
1
,
1
)
+
λ
(
1
,
−
1
,
1
)
+
μ
(
2
,
−
1
,
0
)
. The distance of this plane from the origin is a.
1
3
\frac{1}{3}
3
1
b.
3
2
\frac{\sqrt{3}}{2}
2
3
c.
3
2
\sqrt{\frac{3}{2}}
2
3
d.
2
3
\frac{2}{\sqrt{3}}
3
2
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