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
For what value of x will the line through (5,1,-2) and (-4,-5,13) be perpendicular to (-5,x,0) and (9,-4,6) ?
2
0
5
3
The value of aa' + bb' + cc' being negative .The origin will lie in the acute angle between the planes are +by+cz+d=0 and a'x + b'y + c'z + d'= 0,if
a = a'= 0
d and d' are of same sign
d and d' are of opposite sign
None of these
A line makes angles of 45o and 60o with the positive axes of x and y respectively. What angle does it make with the positive axis of z?
60 o or 100o
100o or 120o
60o or 120o
120o or 180o
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
none of these
If the coordinates of A and B be (2,3,4) and (1,-2,1) respectively, then OA is _________ to OB, where O is the origin.
equal
If A(-3,2,4), B (2,5,-2) , C(1,-2,2) , D(4,2,3) are four given points, then angle θ between AB and CD is
60o
66o31'
75o 31'
120o 31'
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
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
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
