If the position vectors of the vertices A, B and C are 6i, 6j and k respectively w.r.t. origin 0, then the volume of the tetrahedron OABC is
6
3
If three vectors 2i - j - k, i + 2j - 3k and 3i + j + 5k are coplanar, then the value of is
- 4
- 2
- 1
- 8
The vector perpendicular to the vectors 4i - j + 3k and - 2i + j - 2k whose magnitude is 9
3i + 6j - 6k
3i - 6j + 6k
- 3i + 6j + 6k
None of the above
The area of the region bounded by the curves x2 + y2 = 8 and y2 = 2x is
C.
Given curves,
x2 + y2 = 8 ...(i)
and y2 = 2x ...(ii)
On solving Eqs. (i) and (ii), we get
x2 + 2x - 8 = 0
x2 + 4x - 2x - 8 = 0
x(x + 4) - 2(x + 4) = 0
(x - 2)(x + 4) = 0
x = 2 and y = ± 2