Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Three-dimensional Geometry

Question:
What are the direction cosines to the normal plane x+2y-3z+9=0?
Options:
-1/√14 ,- 2/√14 ,3/√10
1/√10 ,2/√10 ,3/√14
-1/√10 ,2/√14 ,1/√14
1/√14,2/√14 ,- 3/√14
Correct Answer:
1/√14,2/√14 ,- 3/√14
Explanation:
If directions of a plane are a , b , c then direction cosines are given by a/√(a^2+b^2+c2) ,b/√(a^2+b^2+c2) ,c/√(a^2+b^2+c2)