Class XII Maths Vectors 3

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Question 1

Let be such that. If the projection along is equal to that of along and are perpendicular to each other then equals

• A2
• B
• C
• D14

Question 2

With two forces acting at a point, the maximum effect is obtained when their resultant is 4N. If they act at right angles, then their resultant is 3N. Then the forces are

• A
• B
• C
• D

Question 3

A particle moves towards east from a point A to a point B at the rate of 4 km/h and then towards north from B to C at the rate of 5 km/h. If AB = 12 km and BC = 5 km, then its average speed for its journey from A to C and resultant average velocity direct from A to C are respectively

• Akm/h and km/h
• Bkm/h and km/h
• Ckm/h and km/h
• Dkm/h and km/h

Question 4

If the vector are perpendicular to each other, then a vector in terms of and satisfying the equations and is

• A
• B
• C
• DNone of these

Question 5

If , then the angle between and is

• AAcute
• Bobtuse
• Cπ/2
• Dnone of these

Question 6

The plane = cuts a circular section from the sphere = 5. The radius of this section is

• A2
• B3
• C5
• D4

Question 7

If are two unit vectors inclined at an angle α to each other, then < 1 if

• A
• B
• C
• Dnone of these

Question 8

Let and be two non-parallel unit vectors in a plane. If (α+) bisects the internal angle between and , then α is equal to-

• A1/2
• B1
• C2
• D4

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