﻿ Important Questions of Vector Algebra Mathematics | Zigya

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## Mathematics : Vector Algebra

#### Multiple Choice Questions

11.
• 1/8

• 25/8

• 2

• 2

211 Views

12.

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)

116 Views

13.

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

• 2

• 2

107 Views

14.

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

121 Views

15.

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

• 0

• π/4

• π/2

• π/2

102 Views

16.

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

119 Views

17.

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°

122 Views

18.
• 0

• -1

• -2

• -2

103 Views

19.

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

128 Views

20.  are any three vectors such that
• inclined at an angle of π/3 between them

• inclined at an angle of π/6 between them

• perpendicular

• perpendicular

107 Views