यदि सदिश a, b, c समतलीय हैं, तो दिखाइए कि
`|(a,b,c),(a*a,a*b,a*c),(b*a,b*b,b*c)|=0`

|(a - b, b-c,c-a),(b-c,c-a,a-b),(c-a,a-b,b-c)|=0

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

If a, b, c, are real numbers such that |{:(b+c,c+a,a+b),(c+a,a+b,b+c),(a+b,b+c,c+a):}|=0, then show that either a+b+c=0 or, a=b=c.

If a ,\ b ,\ c are real numbers such that |(b+c,c+a ,a+b),( c+a,a+b,b+c),(a+b,b+c,c+a)|=0 , then show that either a+b+c=0 or, a=b=c .

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

Let a,b and c are real number and Delta=|{:(b+c,c+a,a+b),(c+a,a+b,b+c),(a+b,b+c,c+a):}|=0

If a and b are roots of the equation ax^2+bx+c=0 , then which equation will have roots (ab+a+b) and (ab-a-b) ? यदि a तथा b समीकरण ax^2+bx+c=0 के मूल हैं, तो किस समीकरण के मूल (ab+a+b) तथा (ab-a-b) होंगे है?

If a,b,c are in G.P. then the value of |(a,b,a+b),(b,c,b+c),(a+b,b+c,0)|= (A) 1 (B) -1 (C) a+b+c (D) 0

If a,b,c are in G.P. then the value of |(a,b,a+b),(b,c,b+c),(a+b,b+c,0)|= (A) 1 (B) -1 (C) a+b+c (D) 0