If [(0,2b,c),(a,b,-c),(a,-b,c)] is orth...

If `[(0,2b,c),(a,b,-c),(a,-b,c)]` is orthogonal matrix, then the value of `|abc|` is equal to (where `|*|` represents modulus function)

A

`+1/sqrt2,pm1/sqrt6, pm1/sqrt2`

B

`pm1/sqrt3,pm1/sqrt2,pm1/sqrt6`

C

`pm1/sqrt2,pm1/sqrt6,pm1/sqrt3`

D

`pm1/sqrt2, pm1/sqrt6,pm1/sqrt2`

Verified by Experts

The correct Answer is:

C

Similar Questions

Explore conceptually related problems

Let A = [{:(0, 2b , c),(a, b, -c),(a, -b, c):}] be an orthogonal matrix, then the values of a, b, c, are related with

In Delta ABC, if a=2b and A=3B, then the value of (c)/(b) is equal to

If matrix [{:(0,a,3),(2,b,-1),(c,1,0):}] is skew-symmetric matrix, then find the values of a,b and c,

If a*b=b*c=c*a=0," then [abc] is equal to

If a + b + c = 1, ab + bc + ca = 2 and abc = 3, then the value of a^4 +b^4 +c^4 is equal to _____

If A is an orthogonal matrix then A^(-1) equals A^(T) b.A c.A^(2) d.none of these

If a=b^(x),(:b=c^(y) and backslash c=a^(z), then the value of xyz is equal to a.0 b.1 c.-1 d.abc

If a=b^(x),b=c^(y) and c=a^(z) , then the value of xyz is equal to (a)-1 (b)0 (c)1 (d)abc