Write Coulomb’s law in vector form.What is the importance ofexpressing it in vector form?

Coulomb's law in vector form is expressed as:

F = k * |q1*q2|/r^2 * (r_12)

Where:

• F is the force between the charges.
• k is Coulomb's constant.
• q1 and q2 are the magnitudes of the charges.
• r is the distance between the charges.
• r_12 is the unit vector from charge q1 to charge q2.

The importance of expressing Coulomb's law in vector form is that it not only gives the magnitude of the force but also its direction. The direction of the force is extremely important in physics as it can completely change how an object moves. By using the vector form, we can accurately predict the movement of charged particles in three dimensions.