If z=1-i ,then mention the value of arg(z).

If sin^(-1) x +sin^(-1)y +sin^(-1) z =(3pi)/(2) , then find the value of x^(100) +y^(100) +z^(100) -(9)/(x^(101)+y^(101)+z^(101)) .

If z=(3+4i)/i ,then find |z|

In z=5/(1-3i) then find z.bar z .

If 31z5 is a multiple of 9, where z is a digit, what is the value of z? You will find that there are two answers for the last problem. Why is this so?

If the lines (x -1)/(-3) = (y -2)/(2 lamda ) = ( z -3)/( 2) and ( x -1)/( 3 lamda ) = ( y-1)/(1) = ( z - 6)/( -5) are perpendicular to each other , what is the value of lamda ?

If the planes 2x - 4y + 3z = 5 and x + 2y + gamma z = 12 are perpendicular to each other, what is the value of lamda ?

If z=(3+4i)/(5i) then find zbar z