Find the equation of the plane passing through the point (3, – 3, 1) and perpendicular to the line joining the points (3, 4, – 1) and (2, – 1, 5).

x+5y-6z+18 =0

Step-by-step explanation:

We have to find the equation of the plane passing through the point (3, – 3, 1) and perpendicular to the line joining the points A(3, 4, – 1) and B(2, – 1, 5).

The perpendicular line joining AB is normal to the plane.

Direction ratios of AB are =

this is direction ratios of normal

The plane passes through the point (3,-3,1)

Hence equation of the plane in normal form is

x+5y-6z+18 =0 is the equation of the plane.

So first you have to figure out how many feet of fencing you have, so you can get the amount of paint. We can add 6 and 4 (3+3, 2+2) to get 10, and then multiply by 3 to get 30 feet. Now you can divide by 10 to get 3 gallons of paint, which is your final answer. I hope this helps!