Line In Space
Determine whether point lies on the line.x = −4 + t, y = 4t, z = 7 + t
(0, 16, 11)
What is midpoint of the 2 points and the distance between P1 and midpoint.
P1: (4,5,12)
P2: (9,23,9)
( 13/2, 14, 21/2 )
Distance: 9.46
Determine if any of the lines are parallel or identical. (Select all that apply.)
L1: x = 8 − 4t, y = −3 + 3t, z = 5 + 6t
L2: x = 8t, y = 3 − 6t, z = 17 − 12t
L3: x = 10 − 8t, y = 4 + 6t, z = 8 + 12t
L4: x = −6 + 8t, y = 4 + 6t, z = 5 − 8t
1,2,3
Find sets of parametric equations and symmetric equations of the line through the point parallel to the given vector or line (if possible). Point Parallel to(-1, 7, 2)
x − 1/3 = y + 1/−4 = z − 5
X=3t-1, y=-4+7, z=t+2
Find the distance between the point and the plane. (Round your answer to three decimal places.)
(1, 6, 5)
x − y + 2z = 6
0.408
Determine whether the plane passes through each point.x + 6y − 3z − 1 = 0
(a) (−14, 2, −1)
(b). (7, 2, 3)
YES
NO
Find an equation of the plane.The plane passes through (0, 0, 0), (4, 0, 6), and (−2, −1, 8).
6x-44y-4z=0
Find the distance between the point and the line given by the set of parametric equations. (Round your answer to three decimal places.)
(3, -3, 1); x = 2t, y = t − 3, z = 2t + 2
2.867
4x − y + z = 6
Find x, y, z Intercepts.
x-intercept: (x, y, z) = (3/2,0,0)
y-intercept: (x, y, z) = (0,-6,0 )
z-intercept: (x, y, z) = (0,0,6)
Find an equation of the plane.The plane passes through the points (4, 3, 1) and (4, 1, -7) and is perpendicular to the plane 6x + 8y + 2z = 12.
60x − 48y + 12z = 108
Who is the coolest teacher at Valley!
MRS. SHAK!!!!!!!!
Determine whether the planes are parallel, orthogonal, or neither.
3x − 15y − 3z = 9
3x − 15y − 3z = −2
Now find the angle!!!!!
Parallel
Angle Does not exist