A straight line which makes an angle of 60o with each of y and z-axes, this line makes with x-axes at an angle
30o
60o
75o
45o
A line AB in three-dimensional space makes angles 45o and 120o with the positive x-axis and the positive y-axis respectively. If AB makes an acute angle θ with the positive z-axis, then θ equals
300
450
600
750
The direction cosines of the line which is perpendicular to the lines whose direction cosines are proportional to (1,-1,2) and (2,1,-1) are
None of these
The ratio in which the line joining (2,4,5) , (3,5,-4) is divided by the yz-plane is
2 : 3
3 : 2
-2 : 3
4 : -3
The xy - plane divides the line joining the points (-1,3,4) and (2,-5,6)
internally in the ratio 2 : 3
externally in the ratio 2 : 3
internally in the ratio 3 : 2
externally in the ratio 3 : 2
What are the DR's of vector parallel to ( 2 , -1 , 1) and ( 3, 4 , -1 ) ?
(1, 5, -2)
(-2, -5, 2)
(-1,-5, 2)
(-1, -5 , -2)
If a line makes angles ,β,Υ and with four diagonals of a cube, then the value of is
1
Cosine of the angle between two diagonals of cube is equal to
2/√6
1/3
1/2
Let A(1,-1,2) and B (2,3,-1) be two points. If a point P divides AB internally in the ratio 2 : 3, then the position vector of P is
If projection of a line on x, y and z-axes are 6,2 and 3 respectively, then direction cosines of the line is