Math repost (please check)

L1=P1(1,3,5) and P2(4,5,2)

L2=P4(-1,6,-3) and P3(points not given)


a. Find the equations of lines L1 and L2. P3 is the midpoint of L1, that is, u=0.5 at P3.

P(u)=P1 + u((P2-P1) 0 which is less than or equal to (u)which is less than or equal to 1.

L1= P(u)= (1,3,5) + u(3,2,-3)

L2= P(u)= (2.5,4,3.5)+ v(-3.5,2,-6.5)

b. Find a point on each vector for each line where u=0.25.

L1
2.5 +1= (3.2/2)=1.75
4 + 3 = (7/2)= 3.5
3.5 + 5= (8.5/2)=4.25

L2
0.75+(-1)= (-0.25/2)= -0.125
5+ 6= (11/2)= 5.5
0.25 + (-3)= (-2.75/2) = -1.375

ans= when u =0.25 on L1 the points are (1.75,3.5,4.25). When u=0.25 on L2 the points are (-0.125,5.5,-1.375).

c. Find the tangent vector for each line. Are they constant? What is your conclusion.

L1
P`= P2-P1
P`= (3,2,-3)

L2
P`= P4-P3
P`= (-3.5,2,-6.5)

  1. 👍 0
  2. 👎 0
  3. 👁 60
asked by Mary

Respond to this Question

First Name

Your Response

Similar Questions

  1. algebra

    Given an equation of a line, find equations for lines parallel or perpendicular to it going through specified points. Find the appropriate equations and points from the table below. Simplify your equations into slope-intercept

    asked by jamie edwards on April 18, 2017
  2. geometry

    Which of the following statements best describe Euclid's axioms about lines? A. Two distinct lines intersect in an inifinite number of points. B. A line contains a finite number of points. C. Lines contain exactly two points. D.

    asked by none of your concern on July 16, 2019
  3. Algebra

    Write a system of inequalities to express the exterior of the triangle ABD if A=(-2,7), B=(4,0), and C=(1,-3). Please help! gracias -7x/6 +14/3

    asked by Lily on December 20, 2006
  4. Calculus

    (A) Find the equations of the tangent lines to the circle x^2 +y^2=25 at the points where x=4. (B) Find the equations of the normal lines to this circle at the same points. (The normal line is perpendicular to the tangent line at

    asked by George on November 7, 2008
  5. Plz Check My Geometry

    Out of 30 questions these few I struggled with. I put what I feel was right but to be sure I would like some one to check my answers and if there wrong redirect me on how to get the correct answer.( after the = is the answer i

    asked by Ariel on June 9, 2010
  6. Plz Check My Geometry

    Out of 30 questions these few I struggled with. I put what I feel was right but to be sure I would like some one to check my answers and if there wrong redirect me on how to get the correct answer.( after the = is the answer i

    asked by Ariel on June 9, 2010
  7. maths

    P(6,3), Q(3,7), and R(4,2) are three points in a plane. A is the midpoint of QR and B is the foot of the perpendicular from Q to PR. Find;- (A) the cordinates of A; (B) the equations of the lines PA and QB; (C) the point of

    asked by matt on April 28, 2019
  8. Math

    Find the equations of the tangent lines to the following curves at the indicated points. xy^2 = 1 at (1, −1)

    asked by Carl on June 27, 2018
  9. Vectors

    Consider the 2 lines with equations (x+8)/1=(y+4)/3= (z-2)/1 and (x,y,z)=(3,3,3)+t (4,-1,-1), tER. Find the point of intersection of the lines. So I that these 2 lines are perpendicular because if you do the dot product of their

    asked by Anonymous on June 20, 2018
  10. Calculus

    Find equations of the tangent lines at all inflection points of the graph of f(x)=x^4 - 6x^3 - 12x^2 - 8x + 3

    asked by Dex on April 14, 2010
  11. geometry

    find the slope of a line that passes through the following points. (4,5) and (3,0) using the perpendicular and parallel slopes write slope intercept form equations for both perpendicular and parallel lines all perpendicular lines

    asked by da on December 7, 2015

More Similar Questions