Gauthier, Joseph – Homework 7 – Due: Oct 11 2007, 3:00 am – Inst: JEGilbert
3
thus look at the trace of the surface on the
yz
plane as shown in
Consequently, the linear equation is
y

x
= 1
.
keywords:
3Dgraph, linear equation, trace,
plane
004
(part 1 of 1) 10 points
Find parametric equations for the line pass
ing through the point
P
(3
,

1
,
3) and parallel
to the vector
h
2
,
4
,

2
i
.
1.
x
= 3

2
t,
y
= 1

4
t,
z
= 3

2
t
2.
x
= 2 + 3
t,
y
= 4

t,
z
=

2 + 3
t
3.
x
= 3 + 2
t,
y
=

1 + 4
t,
z
= 3

2
t
correct
4.
x
=

3 + 2
t,
y
= 1 + 4
t,
z
=

3

2
t
5.
x
= 2 + 3
t,
y
= 4 +
t,
z
= 2

3
t
6.
x
= 2

3
t,
y
=

4 +
t,
z
=

2 + 3
t
Explanation:
A line passing through a point
P
(
a, b, c
)
and having direction vector
v
is given para
metrically by
r
(
t
) =
a