Three distinct points `P(3u^(2),2u^(3));Q(3v^(2),2v^(3))` and `R(3w^(2),2w^(3))` are collinear then

6.Show that the points P(-frac{3}{2},3),Q(6,-2), and R(-3,4) are collinear.

Find the products ((-2)/(7)u^(4)v) xx((-14)/(5)uv^(3)) xx((-3)/(4)u^(2)v^(3))

Show that the points P" "(-2," "3," "5) , Q" "(1," "2," "3) and R (7," "0," "-1) are collinear.

Let A=[(1,0,0),(2,1,0),(3,2,1)], it U_1, U_2 and U_3 are column matrices satisfying AU_1 =[(1),(0),(0)], AU_2=[(2),(3),(0)] and AU_3=[(2),(3),(1)] and U is a 3xx3 matrix when columns are U_1,U_2,U_3 now answer the following question: The value of |U| is (A) 3 (B) -3 (C) 3/2 (D) 2

If A= ((1,0,0),(2,1,0),(3,2,1)), U_(1), U_(2), and U_(3) are column matrices satisfying AU_(1) =((1),(0),(0)), AU_(2) = ((2),(3),(0))and AU_(3) = ((2),(3),(1)) and U is 3xx3 matrix when columns are U_(1), U_(2), U_(3) then answer the following questions The value of (3 2 0) U((3),(2),(0)) is

If u=v^(2)=w^(3)=z^(4) ,then log_(u)(uvwz) is equal to

The square root of the complex number z= (u^(2))/(v^(2))+(v^(2))/(u^(2))+(1)/(2i)((u)/(v)+(v)/(u))+(31)/(16) is (in terms of u, v, w )

If z_(1),z_(2),z_(3) and u,v,w are complex numbers represending the vertices of two triangles such that z_(3)=(1-t)z_(1)+tz_(2) and w = (1 -u) u +tv , where t is a complex number, then the two triangles

Three capacitors C_(1),C_(2) and C_(3) are connected as shown in, The potentials of P,Q , and R are V_(1),V_(2), and V_(3) , respectively. Find the potential V_(0) at the function O . .