Question

a

Answer 1

looks wrong as it wont go thru the given point

Answer 2

-x + 2y - 4z = (-1+0-4*4) = -17

Answer 3

simply write the x,y,z stuff on left side... and fix the constant by pluggin in the point

Answer 4

a plane parallel to "ax+by+cz = d" will be of form "ax + by + cz = k"

Answer 5

you can find the value of "k" by plugging in the given point

Answer 6

yes thats the easy way

Answer 7

the other way is :
plane passing thru a point (x1, y1, z1) having normal vector <a, b, c> :
a(x-x1) + b(y-y1) + c(z-z1) = 0

Answer 8

you got it right, but your algebra was wrong.
-c(x-1) + 2c(y-0) + (-4c)(z-4) = 0
leads to
-x + 2y - 4z = -17

Answer 9

-(x-1)+2y-4(z-4)=-x+1+2y-4z+16=0

Answer 10

welcome!

Answer 11

np :)