Intersection 19343

What is the sum of all coordinates of points at the intersection of the line p: x = -1-2t, y = 5-4t, z = -3 + 6t, where t is a real number, with the coordinate planes xy and yz?

Correct answer:

s =  2

Step-by-step explanation:

p:x=12t,y=54t,z=3+6t  z=0 t1=(0+3)/6=21=0.5  x=0 t2=1/(2)=21=0.5  s1=(12 t1)+(54 t1)+0=(12 0.5)+(54 0.5)+0=1 s2=0+(54 t2)+(3+6 t2)=0+(54 (0.5))+(3+6 (0.5))=1  s=s1+s2=1+1=2



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