Let a, b and c be three non-coplanar vectors and let p, q and r be the vectors defined by
0
1
2
3
Let a = i + 2j + k, b = i - j + k, c = i + j - k.
A vector in the plane of a and b has projection on c. Then, one such vector is
4i + j - 4k
4i - j + 4k
2i + j + 2k
The point if intersection of the lines
l1 : r(t) = (i - 6j + 2k) + t(i + 2j + k)
l2 : R(u) = (4j + k) + u(2i + j + 2k) is
(10, 12, 11)
(4, 4, 5)
(6, 4, 7)
(8, 8, 9)
The vectors AB = 3i - 2j + 2k and BC = i - 2k are the adjacent sides of a parallelogram. The angle between its diagonals is
None of these
Consider the circle x2 + y - 4x - 2y + c = 0 whose centre is A(2, 1). If the point P(10, 7) is such that the line segment PA meets the circle in Q with PQ = 5, then c is equal to
- 15
20
30
- 20
A vertical pole subtends an angle at a point P on the ground. If the angles substended by the upper half and the lower half of the pole at P are respectively , then is equal to
C.
Let AC be a pole and point P be the position on the ground