Thread: Anayltic geometry

Question:
The line segment joining A(1,3) and B(-2,-1) is extended through each end by a distance equal to it's original length.Find the co-ordinates of the new endpoint.

Attempt
I don't know what to do.

Hello,

Originally Posted by mj.alawami

Question:
The line segment joining A(1,3) and B(-2,-1) is extended through each end by a distance equal to it's original length.Find the co-ordinates of the new endpoint.

Attempt
I don't know what to do.

Work in terms of vectors.

The coordinates of a vector is the difference of each coordinate of its endpoints :


And

That should be enough ^^

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seeing your other thread, you can also work with midpoints.

A is the midpoint of CB. Find the coordinates of C.
B is the midpoint of BD. Find the coordinates of D.

(draw a sketch if you can't see what I'm talking about )