If are non–coplanar vectors and p, q are real numbers, then the equality holds for
exactly one value of (p, q)
exactly two values of (p, q)
more than two but not all values of (p, q)
more than two but not all values of (p, q)
The vector lies in the plane of the vectors and bisects the angle between .Then which one of the following gives possible values of α and β?
α = 2, β = 2
α = 1, β = 2
α = 2, β = 1
α = 2, β = 1
If are unit vectors and θ is the acute angle between them, then is a unit vector for
Exactly two values of θ
More than two values of θ
No value of θ
No value of θ
A particle just clears a wall of height b at a distance a and strikes the ground at a distance c from the point of projection. The angle of projection is-
45°
ABC is a triangle, right angled at A. The resultant of the forces acting along respectively is the force along where D is the foot of the perpendicular from A onto BC. The magnitude of the resultant is
inclined at an angle of π/3 between them
inclined at an angle of π/6 between them
perpendicular
perpendicular