Question

Find the distance from the point (0 comma 9 comma 0 )to the plane x plus 4 y plus 8 z equals 3.

Answer 1

Answer:

the distance is d= 11/3

Step-by-step explanation:

considering the point P=( 0,9,0) and the plane F(x,y,z)=ax+by+cz+d=x+4y+8z -3 =0 ,

then the distance d is

d = | P evaluated in F | / √(a²+b²+c²)

d =  | 0*1 + 4*9 + 8*0 - 3 | / √(1²+4²+8²) = 33/9 = 11/3