Question

The direction cosines of the normal to the plane $ 6x-3y-2z=1 $ are:

• A. $ \left( \frac{6}{7},3,\frac{-2}{7} \right) $
• B. $ (6,-3,-2) $
• C. $ \frac{1}{7}(6,-3,-2) $
• D. $ \frac{1}{7}(6,3,2) $
• E. $ \frac{1}{7}(-6,2,3) $

Answer 1

Answer: (C)

Direction cosines of the normal to the plane are $ \frac{6}{\sqrt{36+9+4}},\frac{-3}{\sqrt{36+9+4}},\frac{-2}{\sqrt{36+9+4}} $ $ \equiv \left( \frac{6}{7},\frac{-3}{7},\frac{-2}{7} \right) $