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Vector analysis

Total questions: 10

Worksheet time: 5mins

Name
Class
Date
1.

For two vectors A and B, what is A.B (if they have angle α between them)?

a)

|A||B| cosα

b)

|A||B|

c)

√(|A||B|) cosα

d)

|A||B| sinα

2.

Which statement is right?

a)

Commutative law: A.B =B.A

b)

Multiplicative law: a(A.B) = Ax(aB)

c)

Multiplicative law: A.(B+D) = (A.B) + (A.D)

d)

Commutative law: a(A.B) = A.(aB)

3.

What is the dot product of two vectors which are having a magnitude equal to unity and are making an angle of 45°?

a)

0.707

b)

-0.707

c)

1.414

d)

-1.414

4.

Who am I?

My product gives a vector quantity

My magnitude is area of the parallelogram

My direction is advance right handed screw rule.

(a)  

5.

I am the system in which the coordinates are mutually perpendicular - What am I?

(a)  

6.

The points in Cartesian coordinate system is represented as

(a)  

7.

(a)   vector is the directed distance from the origin to a point in space

8.

(a)   vector is the displacement from one point to another

9.

Given A = -6ax + 3ay + 2az, the projection of A along ay is

a)

-12

b)

7

c)

3

d)

-3

10.

Which of the following is not a scalar field?

a)

Displacement of a mosquito in space

b)

Light intensity in a drawing room

c)

Temperature distribution in your classroom

d)

Atmospheric pressure in a given region