बिन्दु `(1,-2,3)`की समतल `x-y+z=5` से दूरी सरल रेखा `x/2 =y/3 =z/(-6)` के समान्तर ज्ञात कीजिए।

If x + y + z = 10, x^3+y^3+z^3=75 and xyz = 15, then find the value of x^2+y^2+z^2 -xy-yz-zx यदि x + y + z = 10, x^3+y^3+z^3=75 तथा xyz = 15 है, तो x^2+y^2+z^2 -xy-yz-zx का मान ज्ञात कीजिए।

If x = 255, y = 256, z = 257, then find the value of x^3+y^3+z^3-3xyz . यदि x = 255, y = 256, z = 257 है, तो x^3+y^3+z^3-3xyz का मान ज्ञात कीजिए ।

If x+y = 4, xy = 2, y+z = 5, yz = 3, z+x = 6 and zx = 4, then find the value of x^3+y^3+z^3-3xyz यदि x+y = 4, xy = 2, y+z = 5, yz = 3, z+x = 6 और zx = 4 है, तो x^3+y^3+z^3-3xyz का मान ज्ञात करें

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

solve 3x - 2y + z = 1 2x + y- 5z = 2 x- y - 2z = 3.

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

Find the S.D. between the lines : (i) (x)/(2) = (y)/(-3) = (z)/(1) and (x -2)/(3) = (y - 1)/(-5) = (z + 4)/(2) (ii) (x -1)/(2) = (y - 2)/(3) = (z - 3)/(2) and (x + 1)/(3) = (y - 1)/(2) = (z - 1)/(5) (iii) (x + 1)/(7) = (y + 1)/(-6) = (z + 1)/(1) and (x -3)/(1) = (y -5)/(-2) = (z - 7)/(1) (iv) (x - 3)/(3) = (y - 8)/(-1) = (z-3)/(1) and (x + 3)/(-3) = (y +7)/(2) = (z -6)/(4) .

The lines x/1=y/2=z/3 and (x-1)/(-2)=(y-2)/(-4)=(z-3)/(-6) are

The lines x/1=y/2=z/3 and (x-1)/(-2)=(y-2)/(-4)=(z-3)/(-6) are

Add: 5x - 8y + 2z, 3z - 4y - 2x, 6y - z - x and 3x - 2z - 3y