Vectors

Scalar Product of Vectors

Keywords: multiplication of vector, scalar multiplication, scalar product of vectors

Scalar Product of Vectors

a = x 1 i + y 1 j ,     b = x 2 i + y 2 j
a · b = | a | | b | c o s α
a · b = x 1 · x 2 + y 1 · y 2

In case of 3D:

a = x 1 i + y 1 j + z 1 k ,         b = x 2 i + y 2 j + z 2 k
a · b = x 1 · x 2 + y 1 · y 2 + z 1 · z 2