P,Q,R,S are the points (-2,3,4) (-4,4,6) , (4,3,5) and (0,1,2). Projection of PQ is
right angles to RS
parallel to RS
equal to RS
none of these
Line joining A (5,2,-3) to B (6,1,4) and C(-3,-2,-1) to D (-1,-4,11) are
parallel
perpendicular
not equal
The projection of the line segments joining the points (0,3,-1) and (5,1,2) on the line whose direction ratios are 2,3,6 is
2
22 / 4
22/7
11/7
If α,β,γ be the angles which a line makes with the co-ordinate axes ,then
Sin2α + Cos2β + Sin2 γ=1
Cos2α + Cos2β + Cos2 γ=1
Sin2α + Sin2β + Sin 2γ=1
Cos2α + Cos2β + Sin2 γ=1
If given that the points are A(-11,8,4), B (-1,-7,-1) and c(9,-2,4). Then the lines AB and BC are
Parallel
Perpendicular to each other
Equal
None of these
Given that P(3,2,-4),Q( 5,4,-6), R(9,8,-10) are collinear, then the ratio in which Q divides PR.
2:1
1:2
2:3
3:4
If A,B,C, D are the points (2,3,-1), (5,2,3), (4,3,-5) and (-2, 1, -8) respectively. Then the projection of AB on CD is
4
6
8
The distance from the origin to (2,2,3) is
9
√17
√19
The equation to the straight line passing through the points (4,-5,-2) and (-1,5,3) is
x-4/1=y+5/-2=z+2/-1
x+4/1=y-5/2=z-3/-1
x/-1=y/5=z/3
x/4=y/-5=z/-2
The angle between any two diagonals of a cube is
cos-1 2/3
cos-1 1/3
cos-1 1/√3
cos-1 √3/2
