SOLUTION: Determine the intersection of lines r1=(2,-1,-1)+ t(1,2,-1)and r2=(-1,-1,1)+ u(-2,-1,1)

Algebra.Com
Question 1153597: Determine the intersection of lines
r1=(2,-1,-1)+ t(1,2,-1)and
r2=(-1,-1,1)+ u(-2,-1,1)
Answer by AnlytcPhil(1806)   (Show Source): You can put this solution on YOUR website!


Equate x-coordinates:




Equate y-coordinates




Solve the system:



Solution: (t,u) = (1,-2)  

Equate z-coordinates
 


See if that is consistent with (t,u) = (1,-2)
by substituting it:




No it's not consistent, so the lines do not intersect.

Edwin
RELATED QUESTIONS

r1(t)=(0.5,−2.5,−2.5)+t⟨3,3,−1⟩ r2(t)=(11,−10,1)+t⟨4,−2,1⟩ Find the (answered by MathLover1)
determine the intersection of the lines r1=(-2,1,-3)+3(1,-1,-5) and... (answered by ikleyn)
If 1/R=1/r1+1/r2; find... (answered by Nate,rapaljer)
1/R=1/r1+1/r2 solve for... (answered by Fombitz)
1/R = 1/R1 + 1/R2 Solve for... (answered by MathLover1)
R=1/r1+1/r2+1/r3 i need r2 (answered by ikleyn,Alan3354)
1)If the sum of the areas of two circles with radii r1 and r2 is equal to the area of a... (answered by edjones)
the total resistance R of two resistors in parallel is given by R=1/1/R1(the 1 is little... (answered by stanbon)
transform the formulae 1/R=1/R1+R2 for... (answered by MathLover1)