सिद्ध कीजिए कि `|{:(x+a,x+b,x+c),(y+a,y+b,y+c),(z+a,y+b,z+c):}|=0`

Show that |{:(a,b,c),(a+2x,b+2y,c+2z),(x,y,z):}|=0

Show that {:|(x+2a,y+2b,z+2c),(x,y,z),(a,b,c)|:} =0

|(x,a,x+a),(y,b,y+b),(z,c,z+c)| = 0

Show that |(x+2a,y+2b,z+2c),(x,y,z),(a,b,c)|=0.

Prove that |(x+2a,y+2b,z+2c),(x,y,z),(a,b,c)|=0

If a + x = b + y = c + z + 1 , where a, b,c,x,y,z are non polar distinct real numbers , then |(x, a+y,x + a),(y , b+y , y + b),(z,c+y, z+c)| is equal to :

Without expanding show that |{:(x,a,x+a),(y,b,y+b),(z,c,z+c):}|=0

Show that abs((a,b,c),(a+2x,b+2y,c+2z),(x,y,z)) =0

Show that |a b c a+2x b+2y c+2z x y z|=0

Show that |a b c a+2x b+2y c+2z x y z|=0