Question

**Will give medals** super easy question
https://gyazo.com/88304e36ca292c2ba33e60295af966d4

Answer 1

You're given that (5, 3, 5) is a point on the plane.
Let (x, y, z) be any other point on the plane, then the vector joining these two points is (x-5, y-3, z-5)

Answer 2

since the vector (-5, 2, -3) is perpendicular to the plane,
it is perpendicular to any vector in the plane also

Answer 3

what do you know about the relationship between dot product and perpendicular vectors ?

Answer 4

i could use the dot product to calculate this?

Answer 5

Yes, dot product is 0 if vectors are pendicular :

(x-5, y-3, z-5) . (-5, 2, -3) = 0

Answer 6

simplify

Answer 7

x=5 , y=3, z=5?

Answer 8

sorry im confused, can you do this problem with me?

Answer 9

we're looking for an equation of a plane, not solving variables..

(x-5, y-3, z-5) . (-5, 2, -3) = 0

-5(x-5) + 2(y-3) -3(z-5) = 0

Answer 10

-5x+2y-3z=-10?

Answer 11

34 sorry

Answer 12

do you mean

-5x+2y-3z = -34

Answer 13

perfect thank you:D if i post another one will you help? ahah

Answer 14

yes

Answer 15

il try..