Question

Please help me solve the following problem. Where does the line x=1+t , y=3-t , z=2t intersect the cylinder x^2+y^2=16?

Answer 1

put the values of x and y in the cylinder and find the value of 't'

Answer 2

then use that value of 't' back in x,y,z

Answer 3

t=3,-1

Answer 4

@experimentX the line will intersect the cylinder at 2 points, do we have to write the equation of the line pass through them or just let them as points? let them as points doesn't make sense at all

Answer 5

P1=(4,0,6)
P2=(0,4,-2)

Answer 6

where does the line ... i suppose just two ponits

Answer 7

ah, got it, the cylinder!! ha, sorry, misunderstand!! I imagine it as a solid cylinder. hihi..