If `[(x+y,2),(1,x+y)]=[(3,2),(1,7)]` then `x=.....y=`

If [(x+y,y),(2x,x-y)][(2),(-1)]=[3/2] then x.y is equal to :

Find x and y if [[x+y,2],[1,x-y]]=[[3,2],[1,7]]

If |[ x y 1 1 ]|=2 and |[ x 3 y 2 ]|=1 then

Find the values of x and y from each of the following matrix equation : (i) [{:(x+y),(x-y):}]=[(3)/(1)](ii) [{:(x+y,7),(0,2x):}]=[{:(-1,7),(0,6):}]

If the co-ordinates of the vertices of an equilateral triangle with sides of length a are (x_1,y_1), (x_2, y_2), (x_3, y_3), then |[x_1,y_1,1],[x_2,y_2,1],[x_3,y_3,1]|=(3a^4)/4

An equilateral triangle has each side equal to a,If (x_(1),y_(1)),(x_(2),y_(2)),(x_(3),y_(3)) are the vertices of the triangle then det[[x_(1),y_(1),1x_(2),y_(2),1x_(3),y_(3),1]]^(2)=

An equilateral triangle has each side equal to a,If (x_(1),y_(1)),(x_(2),y_(2)),(x_(3),y_(3)) are the vertices of the triangle then det[[x_(1),y_(1),1x_(2),y_(2),1x_(3),y_(3),1]]^(2)=

Reflection of the line (x-1)/(-1)=(y-2)/(3)=(z-3)/(1) in the plane x+y+z=7 is