Posted by Gunjan kumar on Sunday, January 23, 2011 at 7:29am.
Show the two lines (x/21/2)=(y/32/3)=(z/43/4) and (x/54/5)=z intersect.find the point of intersection of these lines

Math  Reiny, Sunday, January 23, 2011 at 9:03am
subbing the 2nd into the first:
x/2  1/2 = z/4  3/4
x/2  1/2 = (1/4)(x/54/5)  3/4
times 4
2x  2 = (x/5  4/5)  3
times 5
10x  10 = x  4  15
9x = 9
x = 1
into z = x/5  4/4 = 1/5  4/5 = 1
z = 1
lastly
y/3  2/3 = z/4  3/4
y/3  2/3 = 1/43/4
y/3  2/3 = 1
times 3
y  2 = 3
y = 1
they intersect at (1, 1, 1)
Answer This Question
Related Questions
 Vectors  I am really lost and confused! Consider the lines r = (1,1,1) + t(3,2...
 Calculus  10. Consider the lines [x,y,z] = [4,7,1] + t[4,8,4] and [x,y,z] = [...
 math  If you 99 lines on a piece of paper so that no two lines are parallel to ...
 math  Do the following lines intersect? If yes, show the the point of ...
 math  Do the following lines intersect? If yes, show the the point of ...
 math  if you 99 lines on a piece of paper so that no two lines are parallel to ...
 math  Draw a diagram to show that there are two tangent lines to the parabola y...
 arithmetic  if you 99 lines on a piece of paper so that no two lines are ...
 math  In the xyplane, lines a and b intersect at point (5,2), and lines b and...
 MATH  When a draftsman draws three lines that are to intersect at one ...
More Related Questions