Given points P = (1,2) and Q = (3,1). Find the point A on the segment PQ so that |PA|/|AQ| = 3/2. I don't know how to do this problem.. :( can anybody explain it to me?
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3/2 - it means 3 parts divided by 2 parts. So in total you have 5 = 3+2 parts. You have to divide the segment in 5 parts. On one axis you have numbers 1 and 3 and on the other one 2 and -1.
3-1 = 2; divided by 5 and multiplied by 3 it means 2/5 * 3 = 6/5 = 1.2
2-(-1) = 3; divided by 5 and multiplied by 3 it means 9/5 = 1.8
So P has to be at distance (1.2, 1.8) from P=(1,2) i.e. (1+1.2, 2-1.8) (we subtract 1.8 because you have to, because 2>-1). So the answer would be (2.2, .2)
3-1 = 2; divided by 5 and multiplied by 3 it means 2/5 * 3 = 6/5 = 1.2
2-(-1) = 3; divided by 5 and multiplied by 3 it means 9/5 = 1.8
So P has to be at distance (1.2, 1.8) from P=(1,2) i.e. (1+1.2, 2-1.8) (we subtract 1.8 because you have to, because 2>-1). So the answer would be (2.2, .2)