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MTH203
Review Problems(EXAM#1)
Q1. Find parametric equations for the line passing through (1,0,1) and parallel to the line with
parametric equations x
=
4t, y
=
13t, z
=
2
+
5t.
Q2. Find an equation of the plane that passing through (4,1,2) and parallel to the plane
x
+
2y
+
5z
=
3.
Q3. Determine whether the lines given by the symmetric equations
x
?
1
2
=
y
?
2
3
=
z
?
3
4
and
x
+
1
6
=
y
?
3
?
1
=
z
+
5
2
are parallel, skew or intersect.
Q4. a)Show that the planes x
+
yz
=
1 and 2x3y
+
4z
=
5 are neither parallel nor perpendicular.
b) Find the angle between these planes.
Q5. Find the distance from the point (6,2,1) to the plane 3x
+
y4z
=
2.
Q6. Compute the distance between the planes 3x
+
6y9z
=
4 and x2y3z
=
1.
Q7. Find the angle between the plane 3xy
+
2z
=
4 and the line
x
?
1
3
=
y
+
5
1
=
z
+
1
?
2
.
Q8. Find the distance from the point P(1,1,1) to the line
§
:
x
=
1
+
t
,
y
=
3
?
t
, and
z
=
2
+
5
t
,
t
5
R
.
Q9. Find the limit or show that it does not exist
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This note was uploaded on 10/20/2008 for the course MATHS MTH 203 taught by Professor None during the Spring '08 term at American University of Sharjah.
 Spring '08
 none
 Calculus, Equations, Parametric Equations

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