Three Dimension...

What are the direction ratios of the line if it passes through the intersection of the planes $$x=3z+4$$ and $$y=2z-3$$?

What is the sum of the squares of direction cosines of the line joining the points (1, 2, -3) and (-2, 3, 1) ?

Direction ratios of the line which is perpendicular to the lines with direction ratios $$-1,2,2$$ and $$0,2,1$$ are

The direction cosines of the straight line given by the planes $$x=0$$ and $$z=0$$ are

If $$(1, -2, -2)$$ and $$(0, 2, 1)$$ are direction ratios of two lines, then the direction cosines of a perpendicular to both the lines are

The points, whose position vectors are $$60i + 3j, 40i - 8j$$ and $$ai - 52j$$ collinear, if

The direction ratios of the line perpendicular to the lines with direction ratios $$ 1, -2, -2 $$ and $$ 0, 2, 1 $$ are

The equation of the plane perpendicular to the $$yz-$$ plane and passing through the point $$(1,-2,4)$$ and $$(3,-4,5)$$ is 

The direction cosines $$l,m,n$$ of two lines are connected by the relations $$l+m+n=0$$, $$lm=0$$, then the angle between them is