Three Dimension...

A line segement PQ  has the  length "63" and dr" s ( 3-2,6 } if the line makes angle with x- axis then components of vector PQ  are 

The equation of the plane passing through $$(1, 1, 1)$$ and $$(1, -1, -1)$$ and perpendicular to $$2x - y + z + 5 = 0$$ is

The direction ratios of two lines are $$(4,3,5)$$ and $$(\lambda, -1, 2)$$. If the angle between them is $$45^{o}$$, a value of $$\lambda$$ is

The st lines whose direction cosines satisfy:
$$al+bm+cn=0$$ and $$fmn+gnl+hlm=0$$ are perpendicular if: 

If $$l_1$$, $$m_1$$, $$n_1$$ and $$l_2$$, $$m_2$$, $$n_2$$ are the direction cosines of two perpendicular lines, then the direction cosine of the line which is perpendicular to both the lines , will be

If two straight lines having directions cosines $$\lambda, m, n$$ and $$f, g, h$$ satisfy $$\lambda+m+n=0$$ and $$fmn+gn\lambda+h\lambda m=0$$ and are perpendicular then $$f+g+h$$ is equal to

The Dr's of two lines are 1, -2, -2 and 0, 2, 1 the Dc's of the line perpendicular to the above lines are :-

In a plane there are 10 points, no three are in same straight line except 4 points which are collinear, then the number of straight lines are

The point collinder with (1,-2,-3) and (2,0,0) amoung the following is 

A line with direction ratio 2,7,-5 is drawn to intersect the lines $$\frac { x-y }{ 3 } =\frac { y-7 }{ -1 } =\frac { z+2 }{ 1 } $$ and $$\frac { x+3 }{ -3 } =\frac { y-3 }{ 2 } =\frac { z-6 }{ 4 } $$ at P and Q respectively, then length of PQ is-