Questions in 3-d

Select	Question
	If the projections of a line on the co-ordinate axes be 2, –1, 2, then the length of the lines is
	xy-plane divides the line joining the points (2, 4, 5) and (– 4, 3, – 2) in the ratio
	If $A\,(1\,,\,\,2,\,\,-1)$ and $B(-1,\,\,0,\,\,1)$ are given, then the co-ordinates of P which divides $AB$ externally in the ratio$1:2$, are
	The point of intersection of the line joining the points (3, 4, 1) and (5, 1, 6) and the xy-plane is
	If the co-ordinates of A and B be (1, 2, 3) and (7, 8, 7), then the projections of the line segment AB on the co-ordinate axes are
	The co-ordinates of the point P are $(x,y,z)$and the direction cosines of the line OP when O is the origin, are $l,\,m,\,n$. If $OP$, then
	A line makes angles $\alpha ,\beta ,\gamma $ with the co-ordinate axes. If $\alpha +\beta ={{90}^{o}}$, then $\gamma =$
	Points (–2, 4, 7), (3, –6, –8) and (1, –2, –2) are
	If the points $A(9,\,\,8,\,-10)$,$B(3,\,\,2,\,\,-4)$and $C(5,\,\,4,\,-6)$be collinear, then the point C divides the line $AB$ in the ratio
	The projections of a line on the co-ordinate axes are 4, 6, 12. The direction cosines of the line are