Question

What is the value of a vector dot a vector?

Answer 1

1. The vector dot product equals the product of the magnitudes of the two vectors and the cosine of the angle between the two vectors. $\overrightarrow{A}.\overrightarrow{B}=A.B.\cos \theta$, here $\theta$ is the angle between two vectors $\overrightarrow{A}$ and $\overrightarrow{B}$.
2. The dot product of two vectors lies in the same plane as the two vectors.
3. The dot product might be a positive or negative value, or it can be zero.
4. Examples of dot product of vectors is Work done as $Work\left(W\right)=\overrightarrow{F}.\overrightarrow{dr}$, where $\overrightarrow{F}$ is the force and $\overrightarrow{dr}$ is the displacement.