Question

In: Math

(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) =
  

Solutions

Expert Solution


milcah answered 2 years ago
Next > < Previous

Related Solutions

Find parametric equations for the line through the point (0, 2, 3) that is perpendicular to...
Find parametric equations for the line through the point (0, 2, 3) that is perpendicular to the line x = 2 + t, y = 2 − t, z = 2t and intersects this line. (Use the parameter t.) (x(t), y(t), z(t)) =
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.
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 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 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.
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 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 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))  =
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).
1. write the equations of a line through the point (0, 2, -5) and perpendicular to...
1. write the equations of a line through the point (0, 2, -5) and perpendicular to the plane -2x+3y+4z = 18. Use either parametric or symmetric form. 2. Find the acute angle between the planes 2x+4y-z = 12 and x-6y+5z= 20.
ADVERTISEMENT
Subjects
ADVERTISEMENT
Latest Questions
ADVERTISEMENT