Find the distance between the skew lines given by the following parametric equations: L1: x=2t y=4t...

Find the distance between the skew lines given by the following parametric equations:

L1: x=2t y=4t z=6t
L2: x=1-s y=4+s z=-1+s

Expert Solution

milcah answered 2 years ago

Find the distance between the skew lines with the given parametric equations. x = 2 +...

Find the distance between the skew lines with the given parametric equations. x = 2 + t, y = 3 + 6t, z = 2t x = 1 + 4s, y = 5 + 15s, z = -2 + 6s.

Find the distance between the skew lines with parametric equations x = 1 + t, y...

Find the distance between the skew lines with parametric equations x = 1 + t, y = 3 + 6t, z = 2t, and x = 1 + 2s, y = 6 + 15s, z = −2 + 6s. Find the equation of the line that passes through the points on the two lines where the shortest distance is measured.

Determine whether the lines and are parallel, skew, or intersecting. L1:X=1+2t, Y=2+3t , z=3+4t L2: X=-1+6s,...

Determine whether the lines and are parallel, skew, or intersecting. L1:X=1+2t, Y=2+3t , z=3+4t L2: X=-1+6s, Y=3-s ,z=-5+2s

1) Equations for two lines L1 and L2 are given. Find the angle between L1 and...

1) Equations for two lines L1 and L2 are given. Find the angle between L1 and L2. L1: ? = 7 + 2?, ? = 8 − 4?, ? = −9 + ? L2: ? = −8 − ?, ? = 3 − 3?, ? = 4 + 3? 2) Find polar form of complex number z : ?) ? = 4√3 − 4? ?) ? = 2√3 − 2i

(a) Find the cosine of the angle between the lines L1 and L2 whose vector equations are given below:

(a) Find the cosine of the angle between the lines L1 and L2 whose vector equations are given below: L1 : ~r1(t) = [1, 1, 1] + t[1, 2, 3] L2 : ~r2(t) = [1, 1, 1] + t[−1, 4, 2]. (b) Find the equation of the plane that contains both L1 and L2.

A curve c is defined by the parametric equations x= t^2 y= t^3-4t a) The curve...

A curve c is defined by the parametric equations x= t^2 y= t^3-4t a) The curve C has 2 tangent lines at the point (6,0). Find their equations. b) Find the points on C where the tangent line is vertical and where it is horizontal.

Determine whether the lines: L1:x=19+5t,y=7+4t,z=13+3t and L2:x=−8+6ty=−17+6tz=−8+6t intersect, are skew, or are parallel. If they intersect,...

Determine whether the lines: L1:x=19+5t,y=7+4t,z=13+3t and L2:x=−8+6ty=−17+6tz=−8+6t intersect, are skew, or are parallel. If they intersect, determine the point of intersection. Point of intersection ( , , ) I know they intersect, I just don't know where the point is. Thanks!

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.

For this parametrized curve: x = e^(2t) sin t , y = cos(4t) find tangent line...

For this parametrized curve: x = e^(2t) sin t , y = cos(4t) find tangent line to curve when t=1

3. Consider the parametric curve x = sin 2t, y = − cos 2t for −π/4...

3. Consider the parametric curve x = sin 2t, y = − cos 2t for −π/4 ≤ t ≤ π/4. (a) (2 pts) Find the Cartesian form of the curve. (b) (3 pts) Sketch the curve. Label the starting point and ending point, and draw an arrow on the curve to indicate the direction of travel. (c) (5 pts) Find an equation for the curve’s tangent line at the point √2/2, −√2/2 .

Question