Question

Show that the two lines with equations (x, y, z) = (-1, 3, -4) + t(1,...

  1. Show that the two lines with equations (x, y, z) = (-1, 3, -4) + t(1, -1, 2) and (x, y, z) = (5, -3, 2) + s(-2, 2, 2) are perpendicular. Determine how the two lines interact.
  2. Find the point of intersection of the line (x, y, z) = (1, -2, 1) + t(4, -3, -2) and the plane x – 2y + 3z = -8.
Math   Calculus   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

Two lines are perpendicular if their sum of product of direction cosines is zero.

please ask for any doubt and rate if u satisfied

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
1. Determine whether the lines are parallel, perpendicular or neither. (x-1)/2 = (y+2)/5 = (z-3)/4 and...
1. Determine whether the lines are parallel, perpendicular or neither. (x-1)/2 = (y+2)/5 = (z-3)/4 and (x-2)/4 = (y-1)/3 = (z-2)/6 2. A) Find the line intersection of vector planes given by the equations -2x+3y-z+4=0 and 3x-2y+z=-2 B) Given U = <2, -3, 4> and V= <-1, 3, -2> Find a. U . V b. U x V
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
1. Let T(x, y, z) = (x + z, y − 2x, −z + 2y) and...
1. Let T(x, y, z) = (x + z, y − 2x, −z + 2y) and S(x, y, z) = (2y − z, x − z, y + 3x). Use matrices to find the composition S ◦ T. 2. Find an equation of the tangent plane to the graph of x 2 − y 2 − 3z 2 = 5 at (6, 2, 3). 3. Find the critical points of f(x, y) = (x 2 + y 2 )e −y...
3. Consider the following two lines: x = c + t, y = 1 + t,...
3. Consider the following two lines: x = c + t, y = 1 + t, z = 5 + t and x = t, y = 1 - t, z = 3 + t. Is there a value c that makes the two lines intersect? If so, find it. Otherwise, give a reason. 4. A particle starts at the origin and moves along the shortest path to the line determined by the two points P =(1,2,3) and Q =(3,-2,-1)....
Find parametric equations of the line that passes through (1, 2, 3) and is parallel to...
Find parametric equations of the line that passes through (1, 2, 3) and is parallel to the plane 2 x − y + z = 3 and is perpendicular to the line with parametric equations: x=5-t, y=3+2t , z=4-t
Find parametric equations of the line that passes through (1, 2, 3) and is parallel to...
Find parametric equations of the line that passes through (1, 2, 3) and is parallel to the plane 2 x − y + z = 3 and is perpendicular to the line with parametric equations: x=5-t, y=3+2t, z=4-t
Find the point(s) of intersection, if any, of the line x-2/1 = y+1/-2 = z+3/-5 and...
Find the point(s) of intersection, if any, of the line x-2/1 = y+1/-2 = z+3/-5 and the plane 3x + 19y - 7a - 8 =0
Find parametric equations for the line through (1, 1, 6) that is perpendicular to the plane...
Find parametric equations for the line through (1, 1, 6) that is perpendicular to the plane x − y + 3z = 8. (Use the parameter t.) (x(t), y(t), z(t)) = 1+t, 1-t, 6+3t Correct: Your answer is correct. (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) =
1. Solve the following system of equations by the elimination method: 2x+y-z=7 x+2y+z=8 x-2y+3z=2 2. Solve...
1. Solve the following system of equations by the elimination method: 2x+y-z=7 x+2y+z=8 x-2y+3z=2 2. Solve the following system of equations by using row operations on a matrix: 2x+y-z=7 x+2y+z=8 x-2y+3z=2
1) Find an equation of the plane. The plane through the point (7, 0, 4)and perpendicular...
1) Find an equation of the plane. The plane through the point (7, 0, 4)and perpendicular to the line x = 3t,y = 3 − t,z = 1 + 7t 2) Consider the following planes.x + y + z = 2, x + 6y + 6z = 2 (a) Find parametric equations for the line of intersection of the planes. (Use the parameter t.) (x(t), y(t), z(t)) = (b)Find the angle between the planes. (Round your answer to one decimal...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT