Question 1 :
The direction cosines of the vectors $2\vec {i} + \vec {j} - 2\vec {k}$ is equal to

Question 2 :
If a line has the direction ratio $18, 12, 4 $, then its direction cosines are:<br/>

Question 3 :
If $P(x, y, z)$ moves such that $x=0, z=0$, then the&#160;locus of $P$ is the line whose d.cs are<br/>

Question 4 :
The straight line $\displaystyle \frac{x - 3}{3} = \frac{y - 2}{1} = \frac{z - 1}{0}$ is

Question 5 :
A line makes an angle $\alpha,\beta,\gamma$ with the $X,Y,Z$ axes. Then $\sin^2\alpha+\sin^2\beta+\sin^2\gamma=$<br/>

Question 6 :
Assertion ($A$): The points with position vectors $\overline{a},\overline{b},\overline{c}$ are collinear if $2\overline{a}-7\overline{b}+5\overline{c}=0$.<br/>Reason ($R$): The points with position vectors $\overline{a},\overline{b},\overline{c}$ are collinear if $l\overline{a}+m\overline{b}+n\overline{c}=\overline{0}$.<br/>

Question 7 :
The projection of a directed line segment on&#160;the co-ordinate axes are $12,4,3$, then the direction cosines&#160;of the&#160;line are<br/>

Question 8 :
Direction ratios of the line which is perpendicular to the lines with direction ratios $-1,2,2$ and $0,2,1$ are

Question 9 :
If direction cosines of two lines are proportional to $(2,3,-6)$ and $(3,-4,5)$, then the acute angle between them is