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
The distance from the origin to (2,2,3) is
9
4
√17
√19
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
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
The acute angle between two lines whose direction ratios are 2,3 6 and 1,2,2 respectively is
cos-1(21/20)
cos-1(19/20)
cos-1(21/22)
cos-1(20/21)
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.
parallel
perpendicular
equal
not equal
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
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
The ratio in which the xy- plane divides the join of (-3,4,-8) and (5,-6,4) is
1:2
2:1
2:3
3:4
The angle between the lines whose direction cosines are √3/4, 1/4 , √3/2 and √3/4, 1/4 , -√3/2 is
60o
120o
180o
240o
