Question

Which vector acts as the identity element for vector addition, satisfying \[\vec{a} + \vec{0} = \vec{0} + \vec{a} = \vec{a}\]?

Options

• Opposite vector

• Position vector

• Unit vector

• Zero vector

Answer 1

The zero vector (\(\vec{0}\)) serves as the additive identity element in vector addition because adding it to any vector \(\vec{a}\) does not affect or change the vector.