• 1/8

• 25/8

• 2

• 2

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)

13.

If , then the maximum value of |Z| is equal to

• 
• 

• 2

• 2

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

The non−zero verctors are related by .Then the angle between  is

• 0

• π/4

• π/2

• π/2

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°

• 
• 

• 0

• -1

• -2

• -2

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