Question

a) Find the arc length parametrization of the line x=-2+4t, y=3t, z=2+t that has the same...

a) Find the arc length parametrization of the line x=-2+4t, y=3t, z=2+t that has the same direction as the given line and has reference point (-2,0,2).

Use an arc length S as a parameter. x= y= z= b) Use the parametric equations obtained in part (a) to find the point on the line that is 20 units from the reference point in the direction of increasing parameter.

x=

y=

z=

b) Use the parametric equations obtained in part (a) to find the point on the line that is 20 units from the reference point in the direction of increasing parameter.

<?, ?, ?>

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
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 (0, 12, −8) and parallel to the line x = −1 + 3t, y = 6 − 4t, z = 3 + 6t
Find an arc length parametrization of r(t)=<3t^2, 2t^3>. r(g(s))=<_______________, +-____________________>
Find an arc length parametrization of r(t)=<3t^2, 2t^3>. r(g(s))=<_______________, +-____________________>
For the following equation x=2t^2,y=3t^2,z=4t^2;1 less or equal to t less or equal to 3 i)...
For the following equation x=2t^2,y=3t^2,z=4t^2;1 less or equal to t less or equal to 3 i) Write the positive vector tangent of the curve with parametric equations above. ii) Find the length function s(t) for the curve. iii) Write the position vector of s and verify by differentiation that this position vector in terms of s is a unit tangent to the curve.
Find the parametric and symmetric equations of the line that is parallel to the line x...
Find the parametric and symmetric equations of the line that is parallel to the line x = 2 - 3t, y = 4 + t, z = -5 + 4t and passes through the point (1, -4, 7)
Consider the lines in space whose parametric equations are as follows line #1 x=2+3t, y=3-t, z=2t...
Consider the lines in space whose parametric equations are as follows line #1 x=2+3t, y=3-t, z=2t line #2 x=6-4s, y=2+s, z=s-1 a Find the point where the lines intersect. b Compute the angle formed between the two lines. c Compute the equation for the plane that contains these two lines
Determine whether the lines L1:x=7+3t, y=7+3t, z=−1+t and L2:x=−10+4t, y=−12+5t, z=−12+4t intersect, are skew, or are...
Determine whether the lines L1:x=7+3t, y=7+3t, z=−1+t and L2:x=−10+4t, y=−12+5t, z=−12+4t intersect, are skew, or are parallel. If they intersect, determine the point of intersection; if not leave the remaining answer blanks empty.
Let F⃗=xi⃗+(x+y)j⃗+(x−y+z)k⃗ . Let the line l be x=t−1, y=3−4t , z=1−4t . (a) Find a...
Let F⃗=xi⃗+(x+y)j⃗+(x−y+z)k⃗ . Let the line l be x=t−1, y=3−4t , z=1−4t . (a) Find a point P=(x0,y0,z0) where F⃗ is parallel to l . Find a point Q=(x1,y1,z1) at which F⃗ and l are perpendicular. Give an equation for the set of all points at which F⃗ and l are perpendicular.
find the parametric equation of the line passing through the point (1,7,2), parallel to the plane...
find the parametric equation of the line passing through the point (1,7,2), parallel to the plane x+y+z=2 and perpendicular to the line x=2t, y=(3t+5)2, and z=(4t-1)/3
Find a parametrization for the line perpendicular to (2, −1, 1), parallel to the plane 2x...
Find a parametrization for the line perpendicular to (2, −1, 1), parallel to the plane 2x + y − 6z = 1, and passing through the point (1, 0, −3). (Use the parameter t. Enter your answers as a comma-separated list of equations.)
Find vector and parametric equations for: a) the line that passes through the point P(9,-9,6) parallel...
Find vector and parametric equations for: a) the line that passes through the point P(9,-9,6) parallel to the vector u = <3,4,-2> b) the line passing through the point P(6,-2,6) parallel to the line x=2t, y = 2 - 3t, z = 3 +6t c) the line passing through the point P(5, -2,1) parallel to the line x = 3 - t, y = -2 +4t, z = 4 + 8t
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT