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Vectors in a plane

The scalar product or dot product of two vectors is a way to multiply two vectors together. The result you’ll get is a number, not a new vector. You can’t get a new vector when multiplying two vectors.

The scalar product is written with a bold dot (hence the word “dot product”). It’s given by:

 ->{a} o  ->{b}=(x_a,y_a) o (x_b,y_b)=x_a*x_b+y_a*y_b

 ->{a} o  ->{b}=|a|*|b|*cos(v)

The scalar product is among other thing used to determine angles between two vectors.

Two vectors are perpendicular if the scalar product is 0.

Find the scalar product and the determinant of a vector

Vector a Vector b