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A flat plate passes through the point (1, 2, 3) and a… | StemPy Lab
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A flat plate passes through the point (1, 2, 3) and a rod fixed at that point stands at right angles to the plate. The rod points along î + ĵ + k̂. Which is the equation of the plate?
Mathematics
Easy
High School (11–12)
Vectors and Three-Dimensional Geometry › Three-Dimensional Geometry
A-Level
IB
Created by
StemPy Lab
A flat plate passes through the point
(
1
,
2
,
3
)
(1, 2, 3)
(
1
,
2
,
3
)
and a rod fixed at that point stands at right angles to the plate. The rod points along
i
^
+
j
^
+
k
^
\hat{i} + \hat{j} + \hat{k}
i
^
+
j
^
+
k
^
. Which is the equation of the plate?
x
+
y
+
z
=
0
x + y + z = 0
x
+
y
+
z
=
0
x
+
y
+
z
=
3
x + y + z = 3
x
+
y
+
z
=
3
x
+
2
y
+
3
z
=
6
x + 2y + 3z = 6
x
+
2
y
+
3
z
=
6
x
+
y
+
z
=
6
x + y + z = 6
x
+
y
+
z
=
6
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