Question

the magnitude of vector product of two unit vector making an angle of 30 degree with each other is ......​

Answer 1

Answer:

Vector product or cross product is

AxB = ABsinθ

Since A & B are unit vectors and θ = 30°

AxB = ABsinθ

AxB = 1*1*sin30° = 1*1*0.5 = 0.5

AxB = 0.5

Answer 2

Given:

Magnitude of Vector A = 1

Magnitude of vector B = 1

Angle between A and B = 30°

To Find: Magnitude of vector product

Calculation:

The product of two vectors can be done in two ways:

1. Dot product of two vectors

A · B = |A| |B| cosθ = 1 * 1 * cos 30° = 0.866

So, magnitude of resultant of dot multiplication of the two unit vectors is 0.866.

2. Cross product of two vectors

A × B = |A| |B| sinθ = 1 * 1 * cos 30° = 0.5

So, magnitude of resultant of cross multiplication of the two unit vectors is 0.5.

Answer:

Magnitude of dot product = 0.866

Magnitude of cross product = 0.5