Questions in 3-d

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Distance of the point (1, 2, 3) from the co-ordinate axes are
If the centroid of triangle whose vertices are (a,1, 3), (– 2, b, –5) and (4, 7, c) be the origin, then the values of a, b, c are
Which of the following set of points are non- collinear
If a straight line in space is equally inclined to the co-ordinate axes, the cosine of its angle of inclination to any one of the axes is
If a line makes angles of ${{30}^{o}}$and ${{45}^{o}}$with x-axis and y-axis, then the angle made by it with $z-$axis is
Direction ratios of the normal to the plane passing through the points (0, 1, 1), (1, 1, 2)and (–1, 2, – 2) are
If the length of a vector be 21 and direction ratios be 2, – 3, 6 then its direction cosines are
If the co-ordinates of the points $P,\,Q,R,\,S$ be (1, 2, 3), (4, 5, 7), (– 4, 3, – 6) and (2, 0, 2) respectively, then
If the co-ordinates of the points $A,B,C,D$ be (2, 3, –1), (3, 5, – 3), (1, 2, 3) and (3, 5, 7) respectively, then the projection of $AB$ on $CD$ is
If the co-ordinates of the points P and Q be (1, –2, 1) and (2, 3, 4) and O be the origin, then

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