given that the skew symmetric matrix is a x b = [a_tilde]b, when you plug this into the transpose theorem where w x b-hat_i = [w_tilde]b-hat_i how would that go to -[w_tilde] {b-hat}

given that the skew symmetric matrix is a x b = [a_tilde]b, when you plug this into the transpose theorem where w x b-hat_i = [w_tilde]b-hat_i how would that go to -[w_tilde] {b-hat}