(b)Find `x+y+z+w

(a)Find x+y+z

Find the number of positive unequal integral solutions of the equation x+y+z+w=20 .

Find the number of solutions of x + y + z + w = 20 under the following conditions: 1) x,y,z,w are whole number 2) x,y,z,w are natural number

If [{:(x+3,2y+x),(z-1,4w-8):}]=[{:(-x-1,0),(" "3,2w):}], then find the value of |x+y|+|z+w|.

In Fig , if x+y=w+z , then prove that AOB is a line .

Find the equation of the plane through the line of intersection of the planes x+y+z=1 and 2x+3y+4z=5 which is perpendicular to the plane x-y+z=0 .

Find the equation of the plane through the line of intersection of the planes x+y+z=1 " and " 2x+3y+4z=5 which is perpendicular to the plane x-y+z=0 .

Find the angle between the pair of planes 7x+5y+6z+30=0 and 3x-y-10z+4=0

If x, y, z are positive integers then value of expression (x+y)(y+z)(z+x) is

The value of |(x+y,y+z,z+x),(x,y,z),(x-y,y-z,z-x)|=