Two vectors, A and B, have magnitudes of 10 and 15. The cross product of these vectors has magnitude 32. What is the angle between vectors A and B?

The Angle between the vector A and B is 12.32°

Explanation:

Given data

|A×B|=32

|A|=10

|B|=15

To find

Angle α

Solution

From Cross product properties we know that

The Angle between the vector A and B is 12.32°

the working equation for the angular size is the product of the physical size and 360 degrees divided by the product of two pi and distance from earth. the minimum size would be 0.559 degrees while the maximum size would be 0.49 degrees.