If a, b, c are non-coplanar unit vectors such that
, then the angle between a and b is
A.
We have,
If a, b, c and a', b',c' form a reciprocal system of vectors, then a . a'+ b . b' + c · c' is equal to
0
1
2
3
If a, b, c are three non - zero vectors which are pairwise non-collinear. Also, a + 3b is collinear with c and b + 2c is collinear with a, then a + 3b + 6c is
c
0
a + c
a
If d = a x b + b x c + c x a is a non-zero vector and = 0, then
a, b and c are coplanar
None of the above
Let u, v and w be such that = 1, = 2 and = 3. If the projection of v along u is equal to that of w along u and vectors v and w are perpendicular to each other, then equals
2
14
A tetrahedron has vertices at 0(0, 0, 0), A(1, - 2, 1), B (-2, 1, 1) and C (1, - 1, 2). Then, the angle between the faces OAB and ABC will be
If a, b and c are three non-coplanar vectors, then (a + b - c) . [(a - b) x (b - c)] equals
0
a . b c
a . c b
3a . b c