p is in AB, The ratio of AP to PB is 3 to 1.... (right?)
and just use and
to figure out the coordinates.
If this is correct just do the same for II,
Hello scubasteve94Well, there's a more general formula for the coordinates of the point that divides in the ratio . It is this:
(If you understand vector notation, this is equivalent to , where are the position vectors of and .)
For part (i), , so . So plug these values into the formula, using .
For part (ii), we have . So lies outside the line segment . Draw a diagram if you're not sure. You'll then find that the ratio . So you'll need to use the values .
Here are my answers:Spoiler:
Can you complete it now?