consider the following planes. -3x+y+z=3 18x-6y+3z=9 a.) find the angle between the two planes. (round your...

consider the following planes.
-3x+y+z=3
18x-6y+3z=9
a.) find the angle between the two planes. (round your answer to two decimal places.)
b.) find a set of parametric equation for the line of intersection of the planes. (use t for the parameter. enter you answers as a comma-separated list of equations)

Expert Solution

milcah answered 1 year ago

Given two planes 3x − 2y + z = 1 and 2x + y − 3z = 3.

Given two planes 3x − 2y + z = 1 and 2x + y − 3z = 3. (a). Find the equation for the line that is the intersection of the two planes. (b). Find the equation for the plane that is perpendicular to the two planes.

Given two planes 3x − 2y + z = 1 and 2x + y − 3z...

Given two planes 3x − 2y + z = 1 and 2x + y − 3z = 3. (a). Find the equation for the line that is the intersection of the two planes. (b). Find the equation for the plane that is perpendicular to the two planes.

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.) °

Solve: 4x - 3z = 1 -3x - z = -3 2x + y + z...

Solve: 4x - 3z = 1 -3x - z = -3 2x + y + z = -1

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.)

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.)

z=26x-3x^2+5xy-6y^2+12y subject to 3x+y=170 a- Find the critical values at which the following function will be...

z=26x-3x^2+5xy-6y^2+12y subject to 3x+y=170 a- Find the critical values at which the following function will be optimized subject to the given constraints. b- estimate the effect on the value of the objective function from a one unit change in the constant of the constraint.

Find the equation of the plane through the point (1,1,1) which is perpendicular to the line of intersection of the two planes x−y−3z=−1 and x−3y+z= 2.

Find the maximum and minimum values of the function f(x,y,z)=3x−y−3z subject to the constraints x^2+2z^2=49 and...

Find the maximum and minimum values of the function f(x,y,z)=3x−y−3z subject to the constraints x^2+2z^2=49 and x+y−z=9. Maximum value is Maximum value is , occuring at ( , , ). Minimum value is , occuring at ( , , ).

solve by determinants a.x+y+z=0 3x-y+2z=-1 2x+3y+3z=-5 b. x+2z=1 2x-3y=3 y+z=1 c. x+y+z=10 3x-y=0 3y-2z=-3 d. -8x+5z=-19...

solve by determinants a.x+y+z=0 3x-y+2z=-1 2x+3y+3z=-5 b. x+2z=1 2x-3y=3 y+z=1 c. x+y+z=10 3x-y=0 3y-2z=-3 d. -8x+5z=-19 -7x+5y=4 -2y+3z=3 e. -x+2y+z-5=0 3x-y-z+7=0 -2x+4y+2z-10=0 f. 1/x+1/y+1/z=12 4/x-3/y=0 2/y-1/z=3

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