Vector analysis

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

• |A||B| cosα

• |A||B|

• √(|A||B|) cosα

• |A||B| sinα

Which statement is right?

• Commutative law: A.B =B.A

• Multiplicative law: a(A.B) = Ax(aB)

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

• Commutative law: a(A.B) = A.(aB)

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

• 0.707

• -0.707

• 1.414

• -1.414

Who am I?

My product gives a vector quantity

My magnitude is area of the parallelogram

My direction is advance right handed screw rule.

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

The points in Cartesian coordinate system is represented as

_______________vector is the directed distance from the origin to a point in space

____________ vector is the displacement from one point to another

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

• -12

• 7

• 3

• -3

Which of the following is not a scalar field?

• Displacement of a mosquito in space

• Light intensity in a drawing room

• Temperature distribution in your classroom

• Atmospheric pressure in a given region