Q. 183.7( 3 Votes )

If are three mutually perpendicular vectors of equal magnitude, prove that is equally inclined with vectors and . Also, find the angle.

Answer :

If are three mutually perpendicular vectors of equal magnitude

To Find: Find the angle.

Explanation: Here, have equal magnitude, then

Since, are mutually perpendicular , then

Now, Find

Similarly for

Similarly for

Since magnitude are equals then



Now. The angles are

Hence, Proved

Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos
Know All About Types of Relations53 mins
Interactive Quiz on Properties of Determinants43 mins
Determinants of Matrices of different order59 mins
Battle of Graphs | various functions & their Graphs48 mins
Triangular Matrices & operations on matrices58 mins
Know About finding the Adjoint & Inverse Of Matrix46 mins
Complex Numbers | Full chapter QuizFREE Class
Lecture on Product of Determinants58 mins
Determining a determinant63 mins
Types of Matrices & Properties51 mins
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
view all courses