A point on XOZ-plane divides the join of (5,-3,-2) and (1,2,-2) at
(5, 0, 2)
(5, 0, -2)
The perimeter of the triangle with vertices at (1,0,0), (0,1,0) and (0,0,1) is
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)
The distance between the points (1,4,5) and (2,2,3 ) is
5
4
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
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)
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
3 : 2
2 : 3
1 : 3
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
If the direction cosines of two lines are such that l + m + n = 0, l2 + m2-n2 = 0, then the angle between them is
/3
/4
/6
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