Question

Find a parametrization for the line perpendicular to

(4, −1, 1),

parallel to the plane

4* x* +

and passing through the point

(1, 0, −7).

(Use the parameter *t*. Enter your answers as a
comma-separated list of equations.)

Answer #1

Find a parametrization for the line perpendicular to (2, −1, 1),
parallel to the plane 2x + y − 6z = 1, and passing through the
point (1, 0, −3). (Use the parameter t. Enter your answers as a
comma-separated list of equations.)

1) Find an equation of the plane. The plane through the point
(7, 0, 4)and perpendicular to the line x = 3t,y = 3 − t,z = 1 +
7t
2) Consider the following planes.x + y + z = 2, x + 6y + 6z =
2
(a) Find parametric equations for the line of intersection of
the planes. (Use the parameter t.) (x(t), y(t), z(t))
=
(b)Find the angle between the planes. (Round your answer to one
decimal...

Find parametric equations for the line through (1, 1, 6) that is
perpendicular to the plane x − y + 3z = 8. (Use the parameter t.)
(x(t), y(t), z(t)) = 1+t, 1-t, 6+3t Correct: Your answer is
correct.
(b) In what points does this line intersect the coordinate
planes? xy-plane (x, y, z) = yz-plane (x, y, z) = xz-plane (x, y,
z) =

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...

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 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 + 2y +
z = 8.

find the parametric equation of the line passing through the
point (1,7,2), parallel to the plane x+y+z=2 and perpendicular to
the line x=2t, y=(3t+5)2, and z=(4t-1)/3

Find an equation for the plane passing through the point
(4,−2,−1) that is perpendicular to the line
L(t)=〈2t−4,4−4t,2−4t〉.

1.Find an equation for the plane that is perpendicular to the
line l(t) = (8, 0, 4)t + (5, −1, 1) and passes through (6, −1,
0).
2.Find an equation for the plane that is perpendicular to the
line l(t) = (−3, −6, 9)t + (0, 7, 1)and passes
through (2, 2, −1).

(a) Find the unit vectors that are parallel to the tangent line
to the curve
y = 2 sin x
at the point (π/6, 1). (Enter your answer as a
comma-separated list of vectors.)
(b) Find the unit vectors that are perpendicular to the tangent
line.

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