m+cl+amquad 14.ax-bx+by+cy-cx-ay

Let a,b,c be real numbers with a^2 + b^2 + c^2 =1. Show that the equation |[ax-by-c,bx+ay,cx+a],[bx+ay,-ax+by-c,cy+b],[cx+a,cy+b,-ax-by+c]|=0 represents a straight line.

ax+by=5 bx+ay=3

Let a,b,c be real numbers with a^2 + b^2 + c^2 =1 . Show that the equation |[ax-by-c,bx+ay,cx+a],[bx+ay,-ax+by-c,cy+b],[cx+a,cy+b,-ax-by+c]|=0 represents a straight line.

If the system of equations bx + ay = c, cx + az = b, cy + bz = a has a unique solution, then

If the system of equations bx + ay = c, cx + az = b, cy + bz = a has a unique solution, then

If the system of linear equations ax +by+ cz =0 cx + ay + bz =0 bx + cy +az =0 where a,b,c, in R are non-zero and distinct, has a non-zero solution, then:

ax+by=2; bx+ay=3

ax+by=a-b;bx-ay=a+b

ax+by=1 bx+ay=2

Consider the linear equations ax +by+cz=0,bx+cy+az=0 and cx+ay+bz=0