Find the parametric equations for the line through $P(1,2,-1)$ and $Q(3,5,-2).$

Find the magnitude and direction of the greatest change of $g(x,y,z)=2z^3-3(x^2{y}^2)zta{n}^{-1}(xz)$ at $(1,1,1).$

Find the center and radius of the sphere defined by the equation $3x^{2}3y^{2}3z^{2}6x-12y18z-21=0.$

A force of vec$(F)=3$hat$(i)-5$hat$(j)2$hat$(k)$ acts at the point $P(1,2,3).$ Calculate the moment of this force about the point $Q(0,-1,4).$

Determine the parametric equations for the line paasing through points $A(-2,4,1)$ and $B(0,-1,5).$