Find an equation of the plane.
The plane through the point
(1, 0, 3)
and perpendicular...
Find an equation of the plane.
The plane through the point
(1, 0, 3)
and perpendicular to the line
x = 6t, y = 6 − t, z = 5 + 3t
Find an equation for the plane that
(a) is perpendicular to v=(1,1,1)v=(1,1,1) and passes through
(1,0,0).(1,0,0)....
Find an equation for the plane that
(a) is perpendicular to v=(1,1,1)v=(1,1,1) and passes through
(1,0,0).(1,0,0).
(b) is perpendicular to v=(1,2,3)v=(1,2,3) and passes through
(1,1,1).(1,1,1).
(c) is perpendicular to the line
l(t)=(5,0,2)t+(3,−1,1)l(t)=(5,0,2)t+(3,−1,1) and passes through
(5,−1,0).(5,−1,0).
(d) is perpendicular to the line
l(t)=(−1,−2,3)t+(0,7,1)l(t)=(−1,−2,3)t+(0,7,1) and passes through
(2,4,−1).
1) Find an equation of the plane. The plane through the point
(7, 0, 4)and perpendicular...
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 an equation for the plane passing through the point
(4,−2,−1) that is perpendicular to the...
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〉.
Find an equation for the plane that contains the
line v=(4,−4,−2)+t(3,−3,1)
and is perpendicular to the plane...
Find an equation for the plane that contains the
line v=(4,−4,−2)+t(3,−3,1)
and is perpendicular to the plane 2x+y+4z+1=0
(Use symbolic notation and fractions where needed. Please note
that the solution expects you to solve for zz. You may need to
scale your answer suitably. )
z = .
Find an equation of the plane.
The plane that passes through (7, 0, −4) and contains...
Find an equation of the plane.
The plane that passes through (7, 0, −4) and contains the line x
= 4 − 3t, y = 2 + 5t, z = 5 + 4t
1a. Find a vector equation for the line segment from
(4, −3, 7) to (8, 3,...
1a. Find a vector equation for the line segment from
(4, −3, 7) to (8, 3, 4). (Use the parameter
t.)
1b. Find an equation of the plane.
The plane through the point (7, 4, 9) and with normal vector
2i + j − k
1c. Find an equation of the plane.
The plane through the point
(2, −5, −9)
and parallel to the plane 6x − y − z
= 4
1. Give an equation for the line in the xy-plane
passing through (5, 4) with slope...
1. Give an equation for the line in the xy-plane
passing through (5, 4) with slope -1/19.
The line is: _________
2. Give an equation for the line in the xy-plane
passing through (7, 0) and (0, 2).
The line is: _________
3. Give an equation for the vertical line in the
xy-plane passing through (9, 6).
The line is: _________