Question

Find the distance between planes 2x + 5y + 4z - 3 = 0 and 2x + 5y + 4z- 5 = 0.

• A.
• B.
• C.
• D.

Answer 1

The correct option is B

By looking at the x,y,and z coefficients we can say the given planes are parallel. And we know how to calculate the distance between parallel planes.

The distance between two parallel planes $ax+by+cz+d_1=0andax+by+cz+d_2=0$
$=\frac{|d_2-d_1|}{\sqrt{a^2+b^2+c^2}}$
we'll just do the appropriate substitution.

$=\frac{|-5-(-3)|}{\sqrt{2^2+5^2+4^2}}=\frac{2}{\sqrt{45}}$