Vector problem!

[Bettym8]

Hello! I have a problem concerning vectors!

Points A and B have coordinates (4,1) and (2,-5), respectively. Find a vector equation for the line which passes through the point A, and which is perpendicular to the line AB.

I would be very happy for an answer! Thank you!

 

[tkhunny]

Find the slope of \(\displaystyle \overline{AB}\).
Find the slope of a line perpendicular to \(\displaystyle \overline{AB}\).
Use this slope to determine a point on the perpendicular.
You're almost done.