PlanetPhysics/Dot Product

The dot product or scalar product is defined as

$𝐀\cdot 𝐁=A_x{B}_x+A_y{B}_y+A_z{B}_z$

{\mathbf Geometric interpretation}

Using a geometric interpretation allows us to find the angle between two [[../Vectors/|vectors]] because

$𝐀\cdot 𝐁=\left|𝐀\right|\left|𝐁\right|\cos \theta$

It is also useful to note that if the two vectors are perpindicular, their dot product is zero since

$\cos \left(90^o\right)=0$