`|{:(-a," "a," "a),(" "b,-b," "b),(" "c," "c,-c):}|`

|{:(" "3a," "-a+b,-a+c),(a-b," "3b," "c-b),(a-c," "b-c," "3c):}|=3(a+b+c)(ab+bc+ca)

Prove that, |{:(-2a,a,a),(-2b,b,b),(c+a,b+c,-2c):}|=0

Show that A=|{:(-2a,a+b,c+a),(a+b,-2b,b+c),(c+a,c+b,-2c):}|=4(a+b)(b+c)(c+a)

Suppose a, b, c are three non-coplanar vectors. Suppose Delta=|{:(a*a, a* b, a*c), (b*a, b*b, b*c), (c*a, c*b, c*c):}| If Delta=[a b c]^(r)" then " r= _______

Prove that |(3a, -a+b, -a+c),(a-b, 3b, c-b),(a-c, b-c, 3c)| = 3(a+b+c)(ab+bc+ca) .

If A = {a, b, c} and R = {(a, a), (a, b), (b, b), (c. c),(c. a)} is a binary relation on A, then which one of the following is correct?