If a, b are noncollinear vectors and A = (x + 4y) a + (2x + y + 1)b, B = (y - 2x +2) a + (2x - 3y - 1) b and 3A = 2B, then (x, y) =

Let bar(a) , bar(b) be non-collinear vectors. If alpha = (x+4y)bar(a)+(2x+y+1)bar(b), beta = (y-2x+2)bar(a)+(2x-3y-1)bar(b) are such that 3alpha = 2beta then find x, y.

2x + 3y = 7 , (a+b + 1 )x + (a + 2b + 2) y = 4 (a + b ) + 1

If a and b ar non collinear vector such that x_(1)vec a+y_(1)vec b=x_(2)vec a+y_(2)vec b, then prove that x_(1)=x_(2) and y_(1)=y_(2) .

2x + 3y = 7& (a-b)x+ (a + b) y = 3a + b-2

If A=[(1,-1),(2,-1)],B=[(x,1),(y,-1)] and (A+B)^(2)=A^(2)+B^(2) then (x,y)=

Factorize: a x+b x+a y+b y +a x^2+b y^2+b x^2+a y^2 a^2+b c+a b+a c + a x-a y+b x-b y

Factorize: a x+b x+a y+b y , a x^2+b y^2+b x^2+a y^2 , a^2+b c+a b+a c , a x-a y+b x-b y