Question

In: Math

(a) Find symmetric equations for the line that passes through the point (5, −5, 6) and...

(a) Find symmetric equations for the line that passes through the point

(5, −5, 6)

and is parallel to the vector

−1, 3, −2

.

−(x − 5) = 3(y + 5) = −2(z − 6).

x + 5 =

y + 5

3

=

z − 6

−2

.

x − 5

−1

=

y + 5

3

=

z − 6

−2

.

x + 5

−1

=

y − 5

3

=

z + 6

−2

.

−(x + 5) = 3(y − 5) = −2(z + 6).

(b) Find the points in which the required line in part (a) intersects the coordinate planes.
point of intersection with xy-plane

point of intersection with yz-plane

point of intersection with xz-plane

Expert Solution

Using rule of coordinate geometry we solve the given problem.

milcah answered 2 years ago

Find the line that passes through the point (0, 1) and through the point of intersection...

Find the line that passes through the point (0, 1) and through the point of intersection of the two lines and

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)) =

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...

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.

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

Find the equations of the line in the half-plane model of the hyperbolic plane that passes...

Find the equations of the line in the half-plane model of the hyperbolic plane that passes through the points (a) (1,1) and (1,6). (b) (2, 2) and (4,4)

Give a vector parametric equation for the line that passes through the point (2,0,5), parallel to...

Give a vector parametric equation for the line that passes through the point (2,0,5), parallel to the line parametrized by 〈t−3,t−3,−3−3t〉: Find the simplest vector parametric expression r⃗ (t) for the line that passes through the points P=(0,0,−1) at time t = 1 and Q=(0,−4,−1) at time t = 5 Need help with Calculus III

Find equations for the line L which satisﬁes all of the following conditions. (a) L passes...

Find equations for the line L which satisﬁes all of the following conditions. (a) L passes through the point (5,6,7). (b) L is perpendicular to the line x = 2−t, y = 3 + 2t, z = 4t. (c) L is parallel to the plane 3x−y + z = 17.

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

1. Provide the equation of the line that has slope ? = −4 and passes through the point (−2,1).

1. Provide the equation of the line that has slope ? = −4 and passes through the point (−2,1). 2.Rewrite ?(?) = |? − 4| as a piecewise-defined function. 3.Rewrite ln((?4(?2+2) )/??3 ) in terms of simpler logarithms (no powers, products, or quotients inside the logarithm). 4.Test ℎ(?) = −2?^4 + 8? − 3 for symmetry and state your conclusion. 5. If the domain is restricted to the open interval (-pi/2,pi/2),find the range of f(x)=e^tan x