Verify associativity of addition of rational i.e., `(x+y)+z=x+(y+z),` when: `(i ) x=1/2, y=2/3,\ z=-1/5` (ii) `x=(-2)/5, y=4/3,\ z=\ (-7)/(10)`

Verify associativity of addition of rational i.e., (x+y)+z=x+(y+z), when: x=\ (-7)/(11), y=2/(-5),\ z=\ (-3)/(22) (ii) x=-2, y=3/5,\ z=\ (-4)/3

Verify that (x+y)xxz=x xxz+yxxz , if (i) x=(4)/(5), y=(-2)/(3) "and" z=-4 (ii) x=2, y=(4)/(5) "and" z=(3)/(-10)

Verity the property: x\ "x"\ (y+z)=x\ "x"\ y+x\ "x"\ z\ :\ (i) x=(-3)/7, y=(12)/(13), z=(-5)/6 (ii) x=(-12)/5, y=(-15)/4, z=8/3

Verity the property: x\ "x"\ (y+z)=x\ "x"\ y+x\ "x"\ z\ , \ (i )x=(-8)/3, y=5/6, z=(-13)/(12) (ii) x=(-3)/4, y=(-5)/2, z=7/6

Verify the property: x\ "x"\ (y" x" z)=(x\ "x "y)"x"\ z\ b y\ taking:\ (i) x=7/3, y=(12)/5, z=4/9 (ii) x=0, y=(-3)/5, z=(-9)/4

Verify that x xx(y-z)=x xxy-x xxz , if (i) x=(4)/(5), y=-(7)/(4) "and" z=3 (ii) x=(3)/(4), y=(8)/(9) "and" z=-5

Find each of the following products: (i) (-5x y)xx(-3x^2y z) (ii) 1/2x y\ xx2/3x^2y z^2

Identify the like terms in each of the following: (i) x^2,\ y^2,2x^2, z^2 (ii) 2x y ,\ y z ,\ 3x ,(y z)/2

Which of the following line is passing through point of intersection of line (x-4)/(2)=(y-3)/(2)=(z-5)/(1) and the plane x+y+z=2 (a) (x)/(2)=(y+1)/(3)=(z-3)/(4) (b) (x-2)/(3)=(y-1)/(3)=(z-3)/(2) (c) (x)/(2)=(y+1)/(3)=(z-2)/(4) (d) (x-2)/(2)=(y+1)/(3)=(z+3)/(4)

Find the value of 4x^2+y^2+25 z^2+4x y-10 y z-20 z x when x=4,y=3 and z=2.