Question

A vector A of magnitude 5 V3 units, another vector B of magnitude 10 units are inclined to each other at an angle of 30°. The magnitude of the vector product of the two vectors is

a. 5 V3 units
b. 10 units
c. 25 V3 units
d. 75 units

Answer 1

The magnitude of the vector product of two vectors can be found using the formula |A × B| = |A| |B| sinθ. In this case, the magnitude is 75 units.

Step-by-step explanation:

To find the magnitude of the vector product of two vectors, we use the formula:

|A × B| = |A| |B| sinθ

where |A| and |B| are the magnitudes of the vectors A and B, and θ is the angle between them.

In this case, |A| = 5√3 units, |B| = 10 units, and θ = 30°. Plugging these values into the formula, we get:

|A × B| = (5√3) (10) sin(30°)

Simplifying this, we find that the magnitude of the vector product is 75 units, so the correct answer is d. 75 units.