Use app×
Join Bloom Tuition
One on One Online Tuition
JEE MAIN 2025 Foundation Course
NEET 2025 Foundation Course
CLASS 12 FOUNDATION COURSE
CLASS 10 FOUNDATION COURSE
CLASS 9 FOUNDATION COURSE
CLASS 8 FOUNDATION COURSE
0 votes
442 views
in Three Dimensional Geometry by (28.9k points)
closed by

Consider a cube of side ‘a’ unit has one vertex at the origin O.

  1. Write down the co-ordinate of 0, 0′, A and A’ 
  2. Find the direction ratios of OO’ and AA’. 
  3. Show that the angle between the main diagonals of the above cube is cos-1(\(\frac{1}{3}\))

1 Answer

+1 vote
by (28.2k points)
selected by
 
Best answer

1. O(0, 0, 0), O'(a, a, a), A(a, 0, 0) and A'(0, a, a).

2. Direction ratios along OO’ is a – 0, a – 0, a – 0
⇒ a, a ,a ⇒ 1, 1, 1

3. cosθ

Welcome to Sarthaks eConnect: A unique platform where students can interact with teachers/experts/students to get solutions to their queries. Students (upto class 10+2) preparing for All Government Exams, CBSE Board Exam, ICSE Board Exam, State Board Exam, JEE (Mains+Advance) and NEET can ask questions from any subject and get quick answers by subject teachers/ experts/mentors/students.

...