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
A point on XOZ-plane divides the join of (5,-3,-2) and (1,2,-2) at
(5, 0, 2)
(5, 0, -2)
If a line makes angles ,β,Υ and with four diagonals of a cube, then the value of is
1
The ratio in which yz-plane divides the line segment joining (-3,4,-2) and (2,1,3) is
-4 :1
3 : 2
-2 : 3
1 : 4
The projection of the line segment joining the points. (-1,0,3) and (2,5,1) 0n the line whose direction ratios are 6,2,3 is
The perimeter of the triangle with vertices at (1,0,0), (0,1,0) and (0,0,1) is
3
2
The distance between the points (1,4,5) and (2,2,3 ) is
5
4
If P (x,y,z) is a point on the line segment joining Q (2,2,4) and R (3,5,6) such that the projections of OP on the axes are
respectively, then P divides QR in the ratio
1 : 2
2 : 3
1 : 3
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
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
