Question

Find a set of parametric equations of the line with the given characteristics. (Enter your answers as a comma-separated list.)

The line passes through the point

(−2, 8, 6)

and is perpendicular to the plane given by

−* x* + 2

Answer #1

1)Find sets of parametric equations and symmetric equations of
the line that passes through the two points. (For the line, write
the direction numbers as integers.)
(5, 0, 2), (7, 10, 6)
Find sets of parametric equations.
2) Find a set of parametric equations of the line with the given
characteristics. (Enter your answer as a comma-separated list of
equations in terms of x, y, z, and
t.)
The line passes through the point (2, 1, 4) and is parallel to...

Find sets of parametric equations and symmetric equations of the
line that passes through the given point and is parallel to the
given vector or line. (For each line, write the direction numbers
as integers.) Point Parallel to (−6, 0, 2) v = 3i + 4j − 7k
(a) parametric equations (Enter your answers as a
comma-separated list.)
(b) symmetric equations 3x = y 4 = 7z x 3 = y = z 7 x + 6 3 = y...

Find a set of parametric equations for the tangent line to the
curve of intersection of the surfaces at the given point. (Enter
your answers as a comma-separated list of equations.)
z = x2 +
y2, z = 9 −
y, (3, −1, 10)

Find a vector equation and parametric equations for the
line.
-The line that passes through the point
(2,2.4,3.5)
-The line that passes through point 81.0.6) and is
perpendicular to the plane x + 3y + z = 5

given the plane P:2y-3z-6=0, find scalar parametric equations for
the line perpendicular to P that passes through the point
(-1,-2,3)

Find parametric equations of the line that passes through (1, 2,
3) and is parallel to the plane
2 x − y + z = 3 and is perpendicular to the line with parametric
equations:
x=5-t, y=3+2t , z=4-t

Find parametric equations of the line that passes through (1, 2,
3) and is parallel to the plane
2 x − y + z = 3 and is perpendicular to the line with parametric
equations:
x=5-t, y=3+2t, z=4-t

2). Find the asymptotes of the hyperbola. (Enter your answers as
a comma-separated list of equations.)
y2 − 9x2 − 2y +
18x = 89
3). Find the asymptotes of the hyperbola. (Enter your answers as
a comma-separated list of equations.)
16x2 − 9y2 = 144

Find the set of parametric equations of the line through the
point (-3,6,3) that is parallel to the line x=-8+5t, y=-3+8t, and
z=4+4t

Find equations of the following.
x2 − 3y2 + z2 + yz =
52, (7, 2, −5)
(a) the tangent plane
(b) parametric equations of the normal line to the given surface at
the specified point. (Enter your answer as a comma-separated list
of equations. Let x, y, and z be in
terms of t.)

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