Find the point of intersection of the lines (x-2)/- 3 = (y-2)/6 = z-3 & (x-3)/2...

Find the point of intersection of the lines (x-2)/- 3 = (y-2)/6 = z-3 & (x-3)/2 = y+5 = (z+2)/4. Write the answer as (a, b, c). If they are not cut, write: NO

Expert Solution

milcah answered 2 years ago

find the point lying on the intersection of the plane, x + (1/4)y + (1/3)z =...

find the point lying on the intersection of the plane, x + (1/4)y + (1/3)z = 0 and the sphere x 2 + y 2 + z 2 = 25 with the largest z-coordinate. (x,y,z)=(_)

*(1)(a) Find a formula for the intersection of a cone {(x,y,z): x^2+y^2=z^2} with a plane {(x,y,z):...

*(1)(a) Find a formula for the intersection of a cone {(x,y,z): x^2+y^2=z^2} with a plane {(x,y,z): z=c}. (b) Find a formula for the intersection of a cone {(x,y,z): x^2+y^2=z^2} with a plane {(x,y,z): x=a}. (c) Find a formula for the intersection of a cone {(x,y,z): x^2+y^2=z^2} with a plane {(x,y,z): y=b}. *(2) Find a formula for the intersection of a cone {(x,y,z): x^2+y^2=z^2} with a plane {(x,y,z): z=kx+b} assuming both b and k are positive. (a) For what value of...

Homework #3 a) Find the point of intersection of the line x = 2-3t, y =...

Homework #3 a) Find the point of intersection of the line x = 2-3t, y = 3 + t, z = 5t and the plane 3x-2y + z = 5 b)Find the equation of the plane that passes through (1,2,3) and is parallel to the plane 2x-3y + z = 1 c)Find the equation of the plane that contains the line x = 2-3t, y = 3 + t, z = 5t and goes through the point (1,2, 3)

Given function f(x,y,z)=x^(2)+2y^(2)+z^(2), subject to two constraints x+y+z=6 and x-2y+z=0. find the extreme value of f(x,y,z)...

Given function f(x,y,z)=x^(2)+2*y^(2)+z^(2), subject to two constraints x+y+z=6 and x-2*y+z=0. find the extreme value of f(x,y,z) and determine whether it is maximum of minimum.

Find the coordinates of the point (x, y, z) on the plane z = 4 x...

Find the coordinates of the point (x, y, z) on the plane z = 4 x + 1 y + 4 which is closest to the origin.

Use MuPAD to find the point on the line y = 2 – x/3 that is closest to the point x = -3, y = 1.

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.

Given the two lines (x, y, z) = (4, -3, 5) + t(2, 0, -3) (x,...

Given the two lines (x, y, z) = (4, -3, 5) + t(2, 0, -3) (x, y, z) = (4, -3, 5) + s(5, 1, -1) a) determine a vector equation for the plane that combines the two lines b) parametric equations of the plane that contains the two lines c) Cartesian equation of the plane that contains the two lines

a. consider the plane with equation -x+y-z=2, and let p be the point (3,2,1)in R^3. find...

a. consider the plane with equation -x+y-z=2, and let p be the point (3,2,1)in R^3. find the distance from P to the plane. b. let P be the plane with normal vector n (1,-3,2) which passes through the point(1,1,1). find the point in the plane which is closest to (2,2,3)

Let F(x, y, z) = z tan^−1(y^2)i + z^3 ln(x^2 + 7)j + zk. Find the...

Let F(x, y, z) = z tan^−1(y^2)i + z^3 ln(x^2 + 7)j + zk. Find the flux of F across S, the part of the paraboloid x2 + y2 + z = 29 that lies above the plane z = 4 and is oriented upward.

Question