FIND THE VECTOR equation.of the line joining (1,2,3)and(-3,4,3)and show that it is perpendicular to z-axis .

If the coefficient of x and x^2 in expansion of (1+x)^m(1-x)^n are 3 and -6respectively.then find the value of m and n

Let p and q be two real number with p>0. Show the cubic x^3 +px +q has exactly one real root

Hi sir

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polar form of 1

2   2

DABC is a tetrahedron and ABC is an equilateral triangle and AB = BC = CA = 2a.Given that DA = DB= DC and the distance to the plane ABC from D is 3a. Find the angle between i. DA and ABC face