([a,b],[-b,a]][[a,-b],[b,a]]

If A=[[a,b],[-b,a]], B= [[-a, b],[-b, -a]] then find A+B

If A=[[a,b],[-b,a]], B= [[-a, b],[-b, -a]] then find A+B

Show that |[b-c,c-a, a-b],[ c-a, a-b,b-c],[ a-b,b-c,c-a]| = 0 .

Show that abs{:(b-c,c-a,a-b),(c-a,a-b,b-c),(a-b,b-c,c-a):}=0.

Let A = ( a, b, c) and R = {(a, a), (b, b), (a, b), (b, a), (b, c)} be a relation on A, then R is

|(b+c,c+a,a+b),(c+a,a+b,b+c),(a+b,b+c,c+a)|=

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

If a, b and c are three coplanar vectors. If a is not parallel to b, show that c=(|[c*a, a*b], [c*b, b*b]|a+|[a*a, c*a], [a*b, c*b]|b)/(|[a*a, a*b], [a*b, b*b]|) .