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Vectors in a plane

The determinant is like the scalar product, but some of its specific characteristics are different.

The determinant is often written surrounded by squared brackets or with: "det()":

det( ->{a}, ->{b})=[ ->{a}, ->{b}]= ^{a} o  ->{b}=a_x*b_y-a_y*b_x

det( ->{a}, ->{b})=-det( ->{b}, ->{a})

det( ->{a}, ->{b})=|a|*|b|*sin(v)

The determinant can also be used to find the angle between two vectors.

If the determinant is 0, the two vectors are parallel.

Find the scalar product and the determinant of a vector

Vector a Vector b