-a) Find the equation of the line in its vector, parametric and symmetrical shapes that passes...

-a) Find the equation of the line in its vector, parametric and symmetrical shapes that passes through the point.

P (5, -2, 4) and it's perpendicular to the plane 4x-3y+5z=0.

b) Find the equation of the plane (Cartesian and vector) that passes through the points. A (1, -1, -1), B (3, 5, 7), C (1, 6, 8).

Expert Solution

milcah answered 1 year ago

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)) =

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 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 the equation of the line that has slope - 2/3 and which passes through (-1,-6)

1. a.) determine vector and parametric equations for the line through the point A(2, 5) with...

1. a.) determine vector and parametric equations for the line through the point A(2, 5) with direction vector = (1, −3). b.)Determine a vector equation for the line through the points (-1, 4) and (2, -1). c.) Determine parametric equations for the line through (-2, 3) and parallel to the line with vector equation = (−2, 1) + t(6, 4). d .) A line passes through the point (-4, 1) and is perpendicular to the line with parametric equations...

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,$$ \mathbf{r}(t)=<3 3="" 4="" sin="" cos="" t="">$$

Question

-a) Find the equation of the line in its vector, parametric and symmetrical shapes that passes...

Solutions

Expert Solution

Related Solutions

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

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

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

find the equation of the line that has slope - 2/3 and which passes through (-1,-6)

1. a.) determine vector and parametric equations for the line through the point A(2, 5) with...

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

Find the vector and parametric equations for the plane. The plane that contains the lines r1(t)...

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

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

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