Add the following: (i)` x – 3y – 2z , 5x + 7y – 8z , 3x – 2y + 5z`

Add 2x - 3y + z , 5y - x + 7z and 3x - y - 6z.

Add : 8x - 3y + 7z, -4x + 5y - 4z, -x - y - 2z

Prove that the lines 3x + 2y + z – 5 = 0 = x + y – 2z – 3 and 2x – y – z = 0 = 7x + 10y – 8z – 15 are perpendicular

Add the following expressions: 2x+9y-7z, 3y+z-3x, 3z-4y-x

Find the values of x, y and z from the following equations: (i) [4 3x5]=[y z1 5] (ii) [x+y3 5+z x y]=[6 2 5 8] (iii) [x+y+z x+z y+z]=[9 5 7]

Find the angle between the planes : (i) 3 x - 6y - 2z = 7 " " 2x + y - 2z = 5 (ii) 4 x + 8y + z = 8 " " and y + z = 4 (iii) 2 x - y + z =6 " " and x + y + 2z = 7 .

Solve the following system of linear equations by matrix method : 2x + 3y - z = 6, 5x - 3y + z = 8, 7x + y + 3z = 8

2x + 3y-5z = 7, x + y + z = 6,3x-4y + 2z = 1, then x =