If `[(x+3,2y+x),(z-1,4a-6)]=[(0,-7),(3,2a)]` then the ascending order of x,y,z a is

If ((x+3,2y+x),(z-1,4a-z))=[(0,-7),(3,2a)] then x+y+z+a=

If [(1,2,3),(2,4,1),(3,2,9)][(x),(y),(z)]=[(6),(7),(14)] , then the values of x, y, z respectively are

If [(1,2,3),(2,4,1),(3,2,9)][(x),(y),(z)]=[(6),(7),(14)] , then the values of x, y, z respectively are

If x, y, z are all distinct and |(x,x^(2),1+x^(3)),(y,y^(2),1+y^(3)),(z,z^(2),1+z^(3))|=0 then value of x y z is :

Projection of line (x+1)/(2)+(y+1)/(-1)=(z+3)/(4) on the plane x+2y+z=6; has equation x+2y+z-6=0=9x-2y-5z-8bx+2y+z+6=0,9x-2y+5z=4c(x-1)/(4)=(y-3)/(-7)=(z+1)/(10)d.(x+3)/(4)=(y-2)/(7)=(z-7)/(-10)

STATEMENT-1 : The centroid of a tetrahedron with vertices (0, 0,0), (4, 0, 0), (0, -8, 0), (0, 0, 12)is (1, -2, 3). and STATEMENT-2 : The centroid of a triangle with vertices (x_(1), y_(1), z_(1)), (x_(2), y_(2), z_(2)) and (x_(3), y_(3), z_(3)) is ((x_(1)+x_(2)+x_(3))/3, (y_(1)+y_(2)+y_(3))/3, (z_(1)+z_(2)+z_(3))/3)

STATEMENT-1 : The centroid of a tetrahedron with vertices (0, 0,0), (4, 0, 0), (0, -8, 0), (0, 0, 12)is (1, -2, 3). and STATEMENT-2 : The centroid of a triangle with vertices (x_(1), y_(1), z_(1)), (x_(2), y_(2), z_(2)) and (x_(3), y_(3), z_(3)) is ((x_(1)+x_(2)+x_(3))/3, (y_(1)+y_(2)+y_(3))/3, (z_(1)+z_(2)+z_(3))/3)

If x,y,z are different and Delta = |(x, x^2, 1+x^3),(y,y^2,1+y^3),(z,z^2,1+z^3)|= 0 then show that 1 + xyz = 0

Find x,y, and z and for which: [[x+3, 2y+x],[z-1,4a-6]] = [[0,-7],[3,2a]]

Projection of line (x+1)/2+(y+1)/(-1)=(z+3)/4 on the plane x+2y+z=6; has equation x+2y+z-6=0=9x-2y-5z-8 b. x+2y+z+6=0,9x-2y+5z=4 c. (x-1)/4=(y-3)/(-7)=(z+1)/(10) d. (x+3)/4=(y-2)/7=(z-7)/(-10)