ran_out
Newbie level 6
hi all,
i have a question regarding the relation:
(x_transpose)y= norm_x* norm_y * cos(α)
where x, y are vectors and α is the angle between them.
from law of cosines u get:
cos(α) = (norm_ x^2 + norm y ^2 - norm_(x-y)^2) / (2*norm_x*norm_y)
right?
but how do you get the relation:
norm_ x^2 + norm y ^2 - norm_(x-y)^2 = 2*(x_transpose)y
which is needed to get the final result
(x_transpose)y = norm_x* norm_y * cos(α)
Thanx for help
i have a question regarding the relation:
(x_transpose)y= norm_x* norm_y * cos(α)
where x, y are vectors and α is the angle between them.
from law of cosines u get:
cos(α) = (norm_ x^2 + norm y ^2 - norm_(x-y)^2) / (2*norm_x*norm_y)
right?
but how do you get the relation:
norm_ x^2 + norm y ^2 - norm_(x-y)^2 = 2*(x_transpose)y
which is needed to get the final result
(x_transpose)y = norm_x* norm_y * cos(α)
Thanx for help