Questions in 3-d

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If $A(1,\,2,\,3),\,B(-1,-1,-1)$ be the points, then the distance AB is
If $\alpha ,\beta ,\gamma $ be the angles which a line makes with the co-ordinate axes, then
If $P(3,\,4,\,5),$ $Q(4,\,6,\,3),$ $R(-1,\,2,\,4),$ $S(1,\,0,\,5)$ then the projection of RS on PQ is
If a line makes $\alpha ,\beta ,\gamma $ with the positive direction of $x,\ y$ and z-axis respectively. Then, ${{\cos }^{2}}\alpha +{{\cos }^{2}}\beta +{{\cos }^{2}}\gamma $ is
The projection of a line on a co-ordinate axes are 2, 3, 6. Then the length of the line is
A line which makes angle ${{60}^{o}}$with y-axis and z-axis, then the angle which it makes with x-axis is
The points (5, – 4, 2), (4, –3, 1), (7, – 6, 4) and (8, –7, 5) are the vertices of
If $\left( \frac{1}{2},\frac{1}{3},n \right)$ are the direction cosines of a line, then the value of n is
The distance of the point (4, 3, 5) from the y-axis is
If projection of any line on co-ordinate axis 3, 4, and 5, then its length is

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