If projection of a line on x, y and z-axes are 6,2 and 3 respectively, then direction cosines of the line is
None of these
The perimeter of the triangle with vertices at (1,0,0), (0,1,0) and (0,0,1) is
3
2
If a line makes angles ,β,Υ and with four diagonals of a cube, then the value of is
1
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
Let O be the origin and P be the point at a distance 3 units from origin.If direction ratios of OP are (1,-2,-2)then coordinates of P is given by
(1,-2,-2)
(3,-6,-6)
(1/3 , -2/3 , -2/3)
(1/9 , -2/9 , -2/9)
A line makes an obstuse angle with the positive x-axis and angle with the positive y and z-axes respectively.
Its direction cosine are
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
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
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 distance between the points (1,4,5) and (2,2,3 ) is
5
4