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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milcah answered 1 year ago

Question: (a) Find parametric equations for the line of intersection of the planes given by 3x...

Question: (a) Find parametric equations for the line of intersection of the planes given by 3x − 2y + z = 1 and 2x + y − 3z = 3. (b) Find the equation of the plane orthogonal to both of these planes and passing through the point (−2, 1, 1).

Find a set of parametric equations for the tangent line to the curve of intersection of...

Find a set of parametric equations for the tangent line to the curve of intersection of the surfaces at the given point. (Enter your answers as a comma-separated list of equations.) z = x2 + y2, z = 16 − y, (4, −1, 17)

Find a set of parametric equations for the tangent line to the curve of intersection of...

Find a set of parametric equations for the tangent line to the curve of intersection of the surfaces at the given point. (Enter your answers as a comma-separated list of equations.) z = sqrt(x2 + y2) , 9x − 3y + 5z = 40, (3, 4, 5)

Find parametric equations for the tangent line to the curve with the given parametric equations at...

Find parametric equations for the tangent line to the curve with the given parametric equations at the specified point.

3. (5 points) (a): Find parametric equations for the tangent line to the curve with the given parametric equations at the specified point.$$ x=e^{-t} \cos t, \quad y=e^{-t} \sin t, \quad z=e^{-t} ; \quad(1,0,1) $$(b): Find the unit tangent vector $\mathbf{T}$, the principal unit normal $\mathbf{N}$, and the curvature $\kappa$ for the space curve,$$ \mathbf{r}(t)=<3 3="" 4="" sin="" cos="" t="">$$

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 equation of the tangent plane and the parametric equations for the normal line to...

Find the equation of the tangent plane and the parametric equations for the normal line to the surface x2 + y2 - z = 0 at the point P(4,-1, 6). Show all steps

Find a vector equation and parametric equations for the line. (Use the parameter t.) The line...

Find a vector equation and parametric equations for the line. (Use the parameter t.) The line through the point (2, 2.9, 3.6) and parallel to the vector 3i + 4j − k r(t) = (x(t), y(t), z(t)) =

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.

(a) Find parametric equations for the line through (3, 4, 8) that is perpendicular to the...

(a) Find parametric equations for the line through (3, 4, 8) that is perpendicular to the plane x − y + 4z = 5. (Use the parameter t.) (x(t), y(t), z(t)) = (b) In what points does this line intersect the coordinate planes? xy-plane (x, y, z) = yz-plane (x, y, z) = xz-plane (x, y, z) =

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

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