Question

1. (Sections 2.11,2.12) The parametric equations of three lines are given below: 4 : (x, y, z) = (1,0,0) + (1,0,-1), TER 19 :

0 0
Add a comment Improve this question Transcribed image text
Answer #1

» Now, I 1-1 0-0 1-0 ED. =100E 10+ 10 lt o - ls and le are not esplanar and so they do not intersect. 1H 7-0 1-ol=10 ttl=! 11& Let the direction ratios of the straight line be a, m, n. 28-m-n=0 ltm-n=0 m 4+2 El the m :. 2, 1,3 are the direction natio28–4–6=0, x+y=2-1=0 Let M=B, then 6-9-2=0, 2+5-2=0 ::R=3, 4=2, 2=4. ... (3, 2,4) is a point on the straight line. .. The requ

Add a comment
Know the answer?
Add Answer to:
1. (Sections 2.11,2.12) The parametric equations of three lines are given below: 4 : (x, y,...
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. Our experts will answer your question WITHIN MINUTES for Free.
Similar Homework Help Questions
  • 56. Let Li and L2 be the lines whose parametric equations are L]: x = 41,...

    56. Let Li and L2 be the lines whose parametric equations are L]: x = 41, y = 1 -21, z = 2 + 21 L2: x = 1+1, y = 1-1, Z=-1+ 41 (a) Show that Li and L2 intersect at the point (2,0, 3). (b) Find, to the nearest degree, the acute angle between L and L2 at their intersection. c) Find parametric equations for the line that is perpen- dicular to L, and L2 and passes through...

  • 3. (14 points) Given the lines: 21:2(t) = -3t – 1, y(t) = 2t +4, z(t)...

    3. (14 points) Given the lines: 21:2(t) = -3t – 1, y(t) = 2t +4, z(t) =t+4 12: x(u) = 5 - 3u, y(u) = u +1, (u) = u +2 1. Determine whether li and ly are parallel, skew or intersect. If the lines intersect, find the point of intersection of li and 12. 2. If the lines intersect or are parallel, give an equation for the plane which contains both lines. If the lines are skew, find a...

  • Question 12 Find parametric equations for the line of intersection of the planes - 2y+z= 1...

    Question 12 Find parametric equations for the line of intersection of the planes - 2y+z= 1 and 2x + y - 3x = -3. Does the line L intersect the plane 2x - y - 3x = 1? If so, at what point? Note: This is the review exercise at the end of Lecture 2.

  • Question (2): (5 Marks) x-1-3-y x-1-6-y:+2 are (A) Determine intersecting or skew. If they intersect, find the point of intersection Given SI: x2-2y2 = 4z2-252 &s2: (0 Show that the tangent p...

    Question (2): (5 Marks) x-1-3-y x-1-6-y:+2 are (A) Determine intersecting or skew. If they intersect, find the point of intersection Given SI: x2-2y2 = 4z2-252 &s2: (0 Show that the tangent planes to the two surfaces at P(2,0,-8) are perpendicular. whether the lines parallel, 2-z & 12 Marks] 4x2 +9y2-24. (B) Find the points on Si at which the tangent plane is parallel to the plane x+y+32-5 3 Marks] Question (2): (5 Marks) x-1-3-y x-1-6-y:+2 are (A) Determine intersecting or...

  • Matching: Match the equation of each plane to its scalar form 2x-y-2-6.0 b.y Answer Alternate Equation 17 [x, y, :1...

    Matching: Match the equation of each plane to its scalar form 2x-y-2-6.0 b.y Answer Alternate Equation 17 [x, y, :1 = [3, 2, 1]+42. 0, 31+13.0,2]s,t ER. 18. [x,y,:] = [5.-2. 31+43.-2.4]여5.-2, 6] s, t E R. 19. -1+2+3 20. [x,y,s]-[5, 4,-2]+42,-1,-1] 1.3.3]stER. 21. x--t + 22 y-2-1+4s s,tER. 22. Find the values of k such that the three planes never intersect in a point. (3 marks 4x+y- 17- x-y-kz+11-0 Page 3 of 6 23. The equation of a plane...

  • Please help with these problems. 8. Consider the two planes listed below 2x - y +...

    Please help with these problems. 8. Consider the two planes listed below 2x - y + z = 1 +y-2=2 These two planes intersect at a right angle. Show that this is true by showing their normal vectors are perpendicular. Find the parametric equations of their line of intersection. Is the line of intersection (call this L) for these planes parallel, perpendicular (intersect at 90 degrees), skew (not parallel, don't intersect), or none of the above to the line: F(t)...

  • Find the equation for a plane containing 3 points: A(2, 2,1) in the form: ax+by+cz+d =...

    Find the equation for a plane containing 3 points: A(2, 2,1) in the form: ax+by+cz+d = 0 C(0, -2,1). Put the plane equation B(3,1, 0) х — 3 z+2 = y+5 = 2 L: Find the intersection point between 2 lines whose symmetric equations are: 4 х-2 L, : у-2 = z-3 -3 Find the parametric equation for a line that is going through point A(2,4,6) and perpendicular to the plane 5х-3у+2z-4%3D0. Name: x-3y4z 10 Find the distance between 2...

  • (1 point) Determine whether the lines li: x = 8 + 2s, y = 19 +...

    (1 point) Determine whether the lines li: x = 8 + 2s, y = 19 + 5s, z = 3 + 2s, SER and l2: x = -4 + 3t, y = -10 + 7t, z = -13 + 5t, tER intersect, are skew, or are parallel. If they intersect, determine the point of intersection; if not leave the remaining answer blanks empty. Do/are the lines: ? Point of intersection:

  • Let the curve C in the (x, y)-plane be given by the parametric equations x =...

    Let the curve C in the (x, y)-plane be given by the parametric equations x = e + 2, y = e2-1, tER. (a) Show that the point (3,0) belongs to the curve C. To which value of the parameter t does the point (3,0) correspond? (b) Find an expression for dy (dy/dt) without eliminating the parameter t, i.e., using de = (da/dt) (c) Using your result from part (b), find the value of at the point (3,0). (d) From...

  • QUESTION 1 (15 MARKS) a) Given the line Lj: I = 2 - 2t, y =...

    QUESTION 1 (15 MARKS) a) Given the line Lj: I = 2 - 2t, y = 5 + 2t, z=t-1 and 1 1 - 2 L2 : =y-3 = 2 4 i. Check whether the lines Lị and L2 parallel, intersect or skewed? (5 marks) ii. Find the shortest distance from the point (1, 2, -1) to the line Li- (3 marks) b) Given two planes 71 : 20 - 4y +z = 5 and T2 : 7x + y...

ADVERTISEMENT
Free Homework Help App
Download From Google Play
Scan Your Homework
to Get Instant Free Answers
Need Online Homework Help?
Ask a Question
Get Answers For Free
Most questions answered within 3 hours.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT