Question

help with this please

Answer 1

i got 4x-y+z=0

Answer 2

normal vector looks good

Answer 3

check if the given point satisfies the equation

Answer 4

plugin x = 2, y = -1, z = -1
does the eq'n balance ?

Answer 5

oh ok got it its 4x-y+9

Answer 6

nope

Answer 7

it will be of form :

ax + by + cz = d

Answer 8

oh no no its 4x-y+9z=0 and it true

Answer 9

you just need to fix the right hand side based on the given point

Answer 10

oh wait

Answer 11

yes you're right :) my bad i didn't check that the z coefficient is 9

Answer 12

:)