Question

Given the parallel planes x + 2y + 3z = 1 and 3x + 6y + 9z = 18. Find a normal vector to these planes.

Answer #1

Find the line intersection and the angle between the planes
3x-2y+z=1 and 2x+y-3z=3.

given the planes P1 and P2 determine whether the planes intersect
or are parallel. if they intersect, give the direction vector for
thr line of intersection. P1:3x+y-3z=4
p2:2x+3y+2z=6

Determine whether the planes x−2y+3z−4 = 0 and −2x+5y+4z = −1
are orthogonal.

Find the intersection of two planes 3x + 2y − 5z = 3 and x − y −
2z = 4.

Use Cramer’s Rule to solve the system. x − 6y = 3 3x + 2y =
1

Verify that the given function is the solution of the initial
value problem.
1. A) x^3y'''-3x^2y''+6xy'-6y= -(24/x) y(-1)=0 y'(-1)=0
y''(-1)=0
y=-6x-8x^2-3x^3+(1/x)
C) xy'''-y''-xy'+y^2= x^2 y(1)=2 y'(1)=5 y''(1)=-1
y=-x^2-2+2e^(x-1-e^-(x-1))+4x

5. The planes: 2x − 3y + z = 1 and 3x − 2y − z = 0 …
(Explain/Show your Work)
a. Are parallel
b. Are Coincident
c. Meet in a Line
d. Meet at a Point

Solve each system of equations
x-2y+3z=7
2x+y+z=4
-3x+2y-2z=-10

(dx/dt) = x+4z
(dy/dt) = 2y
(dz/dt) = 3x+y-3z

shows that the 3x-6y + 2z = 5 plane is parallel to the line x = 1 +
9t, y = 5-4t, z = 9-t and calculates the distance between the
two

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 3 minutes ago

asked 4 minutes ago

asked 14 minutes ago

asked 16 minutes ago

asked 19 minutes ago

asked 33 minutes ago

asked 45 minutes ago

asked 47 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 2 hours ago