(a) : P (1,1,2) થી પ્લેન 2x - 2y + 4z... સુધી લંબની લંબાઈ અને પગ શોધો.

If sin ^ (- 1) x + sin ^ (- 1) y + sin ^ (- 1) z = pi show that, x ^ (4) + y ^ (4) + z ^ (4) + 4x ^ ( 2) y ^ (2) z ^ (2) = 2 (x ^ (2) y ^ (2) + y ^ (2) z ^ (2) + z ^ (2) x ^ (2))

If sin ^ (- 1) x + sin ^ (- 1) y + sin ^ (- 1) z = pi, show that x ^ (4) + y ^ (4) + z ^ (4) + 4x ^ ( 2) y ^ (2) z ^ (2) = 2 (x ^ (2) y ^ (2) + y ^ (2) z ^ (2) + z ^ (2) x ^ (2))

8x + y + 2z = 4x + 2y + z = 1x + y + z = 2

Equation of the plane containing the line L_(1) : (x-1)/3 = (y+6)/4 = (z+1)/2 , parallel to the line L_(2) : (x-2)/2 = (y-1)/(-3)= (z+4)/5 , is 26 x - 11y - 17 z = p where : p =

x-y+z=1 2x+y-z=2 x-2y-z=4

If x+y+z=xzy , prove that : x(1-y^2) (1-z^2) + y(1-z^2) (1-x^2) + z (1-x^2) (1-y^2) = 4xyz .

The image of plane p _(1) in the plane mirror p _(2) is : Let two planes p_(1): 2x -y +z =2 and p _(2) : x+ 2y -z=3 are given.