Is work a scalar or a vector quantity how is it represented

Work is a scalar quantity. This means it has magnitude but no direction.

Explanation:

• Work is the measure of energy transferred when a force acts on an object and causes displacement.
• Although force and displacement are vector quantities, work itself is calculated as the dot product of force and displacement vectors.
• Because the dot product results in a scalar, work does not have a direction, only magnitude (which can be positive, negative, or zero depending on the angle between force and displacement).

How is it represented?

Work is usually represented by the symbol W.

The formula for work done is:

W = →F · →d = F d cos θ

where:

• →F = force vector
• →d = displacement vector
• θ = angle between force and displacement vectors