Calculus
posted by J on .
1. a) Write the vector and parametric equations of the line through the points A(6, 1, 5) and B(2, 3, 6).
b) Find another point on the line in (a).

This is what I got for a)
r = 6ij+5k + t(8i2j+k)
x = 68t
y = 12t
z = 5+t
I need help with b)

a point on the line? Let t be any value, perhaps equal to say 1/2
then
x=64=2
y=11=2
z=5.5 
Hi bobpursley,
I got 2 answers for a) but I'm not sure which one is correct, could you please help me determine which is correct?
the first answer I got is posted in this question, the second answer I got is this one for part a) could you please help me
for a) I got this instead:
vector equation:
[x, y, z] = [6, 1, 5] + t[8, 2, 1]
parametric equation:
x=6+t(2)
x=62t
y=1+t(3)
y=13t
z=5+6t
and because I got this for part a), it also means my part b) changes too.. so i got this:
b) [x,y,z] = [6,1,5] + t[8,2,1]
= [6,1,5] + 1[8,2,1]
= [6,1,5] + [8,2,1]
= 68, 12, 5+1
= (2,3,6)
please let me know which one is correct.. thank you!