How do you find the angle between the vectors #u=<1,0># and #v=<0,-2>#?
Please see the explanation.
Two methods to dot-product to compute the dot product are:
where the magnitudes are
To do this problem, you compute the dot-product using method :
This is a special case where the dot-product is zero and we instantly know that
Next, compute the magnitudes:
Into the equation for method , substitute 0 for
Solve the equation for
This is the answer.
The dot ( scalar ) product
So, the cosine of the angle,