Question

Can the scalar product of two vectors be a negative quantity?

Answer 1

Explanation:

1. The sum of the products of the vectors' respective components is the scalar product of two vectors.
2. It's a scalar quantity that's also known as the vector dot product.
3. The scalar product of two vectors is $\left|\mathrm{a}\right|\left|\mathrm{b}\right|\mathrm{cos\theta }$.
4. $\mathrm{Cos}\mathrm{\theta }$ can take a negative value from ${90}^0$ to ${270}^0$.

Therefore, yes, It is possible for the scalar product of two vectors to be negative.