Book: Mathematics Part-II
Chapter: 10. Vector Algebra
Subject: Maths - Class 12th
Q. No. 14 of Miscellaneous Exercise
Listen NCERT Audio Books - Kitabein Ab Bolengi
14
If 
are mutually perpendicular vectors of equal magnitudes, show that the vector 
is equally inclined to 
and 
Given: vectors 
are mutually perpendicular to each other and are of equal magnitude.
And 
Let the vector 
be inclined to 
at angles α, β and γ respectively.
Then, we have
From (1), (2) and (3)
As 
Hence, 
Hence, the vector 
are equal inclined to 
.
14
