I need to find the equation for the line that passes through the pont (-1, 2, -3) in the direction of the vector (1,-1,-1)
The equation needs to be in the form v(t)=v subscript 0 + tv
The Attempt at a Solution
I know how to find the equation of a line passing through two points, but I have no idea how to find the equation with only one point heading in the direction of a vector. I'm not really looking for the answer, I'm looking for an explanation on how to find the equation of a line given one point in the direction of a vector. Any help would be appreciated. Thank you.
I think I've found the solution, but I'm not sure. v=(1,-1,-1) and V subscript 0 = (-1,2,-3), therefore the equation of the line is (-1,2,-3) + t(1,-1,-1). Is this right?