Questions in 3-d

Select	Question
	If the points (0, 1, 2), (2, –1, 3) and (1, –3, 1) are the vertices of a triangle, then the triangle is
	If the points (–1, 3, 2), (–4, 2, –2) and $(5,\,\,5,\,\,\lambda )$ are collinear, then $\lambda $=
	The direction cosines of the normal to the plane $2x+3y-6z=5$ are
	The point dividing the line joining the points $(1,\,\,2,\,\,3)$and $(3,\,\,-5,\,\,6\,)$ in the ratio $3:\,-5$ is
	From which of the following the distance of the point $(1,\,\,2,\,\,3)$is $\sqrt{10}$
	If $\alpha ,\,\,\beta ,\,\gamma $ be the angles which a line makes with the positive direction of co-ordinate axes, then ${{\sin }^{2}}\alpha +{{\sin }^{2}}\beta +{{\sin }^{2}}\gamma =$
	If $\alpha ,\,\,\beta ,\,\gamma $ be the direction angles of a vector and $\cos \alpha =\frac{14}{15}$, $\cos \beta =\frac{1}{3}$ then $\cos \gamma $=
	All the points on the x- axis have
	Distance between the points (1, 3, 2) and (2, 1, 3) is
	The direction cosines of the line $x=y=z$ are

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