Determine whether the following two planes x + 4y − z = 7 and 5x −...

Determine whether the following two planes x + 4y − z = 7 and 5x − 3y −7z = 11 are parallel, orthogonal, coincident (that is, the same) or none of these.

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Expert Solution

Colby Messinger answered 2 years ago

Consider the following planes. 5x + 6y − z = 132, x − 12y + 2z...

Consider the following planes. 5x + 6y − z = 132, x − 12y + 2z = 0 (a) Find the angle between the two planes. (Round your answer to two decimal places.) (b) Find a set of parametric equations for the line of intersection of the planes. (Use t for the parameter. Enter your answers as a comma-separated list of equations.)

Consider the following planes. x + y + z = 7, x + 3y + 3z =...

Consider the following planes. x + y + z = 7, x + 3y + 3z = 7 (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 place.) °

Given two planes 2x - y + z = 7 and x + 3y - 4z...

Given two planes 2x - y + z = 7 and x + 3y - 4z = 1. (a) Give an orthogonal vector to each plane. (b) Do the planes intersect? Why or why not? (c) If they intersect, find the parametric equation of the intersection line, if not, find the distance of both planes.

Consider the following planes. 5x − 3y + z = 2, 3x + y − 5z...

Consider the following planes. 5x − 3y + z = 2, 3x + y − 5z = 4 (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 place.)

The finite region bounded by the planes z = x, x + z = 8, z...

The finite region bounded by the planes z = x, x + z = 8, z = y, y = 8, and z = 0 sketch the region in R3 write the 6 order of integration. No need to evaluate. clear writing please

Use Laplace transforms to solve the system. x' - 5x - 4y = 0 x(0) =...

Use Laplace transforms to solve the system. x' - 5x - 4y = 0 x(0) = 1 y' + x - y = 0 y(0) = -1

P1=4x-z-3, p2=x+2y+z a) The two planes P1 and P2 will intersect in a line. Find the...

P1=4x-z-3, p2=x+2y+z a) The two planes P1 and P2 will intersect in a line. Find the Cartesian coordinate of the point at which the two planes P1 and P2 intersect and x = 0 b) find the vector equation of a line which is the intersection of the two planes P1 and P2.

Maximize objective function P=3x+4y subject to: x + y ≤ 7 x ≥ 0 x+4y ≤...

Maximize objective function P=3x+4y subject to: x + y ≤ 7 x ≥ 0 x+4y ≤ 16 y ≥ 0

1. Determine whether the following planes are parallel, orthogonal, or neither. If they are neither parallel...

1. Determine whether the following planes are parallel, orthogonal, or neither. If they are neither parallel nor orthogonal, find the angle of intersection. -2x – 31y + 5z + 3 = 0 -3x + y + 5z -4 = 0 2. Find the distance between the point ( 2, -2, -3 )and the plane .2x – 3y + 4z = 8

Find the parametric equations of the line of intersection of the planes x − z =...

Find the parametric equations of the line of intersection of the planes x − z = 1 and y + 2z = 3. (b) Find an equation of the plane that contains the line of intersection above and it is perpendicular to the plane x + y − 2z = 1.

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