Question

The line l1 has the direction vector h1,0,−1i and passes through the point (0,−1,−1). The line...

The line l1 has the direction vector h1,0,−1i and passes through the point (0,−1,−1). The line l2 passes through the points (1,2,3) and (1,3,2).

a. [2] What is the angle between l1 and l2 in radians? The answer should lie between 0 and π/2.

b. [6] What is the distance between l1 and l2?

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
Let L1 be the line passing through the point P1(?5, ?3, ?2) with direction vector d=[0,...
Let L1 be the line passing through the point P1(?5, ?3, ?2) with direction vector d=[0, ?3, ?2]T, and let L2 be the line passing through the point P2(?2, 3, ?3) with the same direction vector. Find the shortest distance d between these two lines, and find a point Q1 on L1 and a point Q2 on L2 so that d(Q1,Q2) = d. Use the square root symbol '?' where needed to give an exact value for your answer. d...
Let L1 be the line passing through the point P1(3, 5, ?5) with direction vector d=[?1,...
Let L1 be the line passing through the point P1(3, 5, ?5) with direction vector d=[?1, 2, 0]T, and let L2 be the line passing through the point P2(?3, ?4, ?3) with the same direction vector. Find the shortest distance d between these two lines, and find a point Q1 on L1 and a point Q2 on L2 so that d(Q1,Q2) = d. Use the square root symbol '?' where needed to give an exact value for your answer.
Let L1 be the line passing through the point P1(?5, ?4, 5) with direction vector d=[?1,...
Let L1 be the line passing through the point P1(?5, ?4, 5) with direction vector d=[?1, 1, 3]T, and let L2 be the line passing through the point P2(4, 1, ?4) with the same direction vector. Find the shortest distance d between these two lines, and find a point Q1 on L1 and a point Q2 on L2 so that d(Q1,Q2) = d. Use the square root symbol '?' where needed to give an exact value for your answer. d=?...
Let L1 be the line passing through the point P1=(−5, −2, −5) with direction vector →d=[2,...
Let L1 be the line passing through the point P1=(−5, −2, −5) with direction vector →d=[2, −3, −2]T, and let L2 be the line passing through the point P2=(4, −1, −5) with the same direction vector. Find the shortest distance d between these two lines, and find a point Q1 on L1 and a point Q2 on L2 so that d(Q1,Q2) = d. Use the square root symbol '√' where needed to give an exact value for your answer.
1)Find sets of parametric equations and symmetric equations of the line that passes through the two...
1)Find sets of parametric equations and symmetric equations of the line that passes through the two points. (For the line, write the direction numbers as integers.) (5, 0, 2),    (7, 10, 6) Find sets of parametric equations. 2) Find a set of parametric equations of the line with the given characteristics. (Enter your answer as a comma-separated list of equations in terms of x, y, z, and t.) The line passes through the point (2, 1, 4) and is parallel to...
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
(a) Find the distance between the skew lines l1 and l2 given with the vector equations...
(a) Find the distance between the skew lines l1 and l2 given with the vector equations l1 : r1(t) = (1+t)i+ (1+6t)j+ (2t)k; l2 : r2(s) = (1+2s)i+ (5+15s)j+ (−2+6s)k. (b) Determine if the plane given by the Cartesian equation −x + 2z = 0 and the line given by the parametric equations x = 5 + 8t, y = 2 − t, z = 10 + 4t are orthogonal, parallel, or neither.
Find an equation of the line that passes through the given point and has the indicated...
Find an equation of the line that passes through the given point and has the indicated slope ( 6 ,5\4 ) m = 0 Sketch the line.
What is the equation of the line which passes through the point ( x 0 ,...
What is the equation of the line which passes through the point ( x 0 , y 0 ) = ( 1 , 4 )with slope m = 5?
2. Consider the plane with a normal vector 〈−9, 18, 18〉 which contains the point (0,...
2. Consider the plane with a normal vector 〈−9, 18, 18〉 which contains the point (0, 1, −5), and the plane containing the lines l1 and l2 where l1 is parametrically defined by x = 4 − 2m, y = m + 1, and z = 1 − 2m, and l2 is parametrically defined by x = 4 + 4n, y = 2 + n, and z = n − 1. Determine whether the planes are parallel, orthogonal, or neither.
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT