High Quality Content by WIKIPEDIA articles! The scalar resolute, also known as the scalar projection or scalar component, of a vector mathbf{b} in the direction of a vector mathbf{a} is given by: mathbf{b}cdotmathbf{hat a} = |mathbf{b}|costheta where is the angle between the vectors mathbf{a} and mathbf{b} and hat{mathbf{a}} is the unit vector in the direction of mathbf{a}. This is also known as "mathbf{b} on mathbf{a}".For an intuitive understanding of this formula, recall from trigonometry that costheta = frac{mathbf{b}cdotmathbf{hat a}} {|mathbf{b}|} and simply rearrange the terms by multiplying both sides by |mathbf{b}|.The scalar resolute is a scalar, and is the length of the orthogonal projection of the vector mathbf{b} onto the vector mathbf{a}, with a minus sign if the direction is opposite.Multiplying the scalar resolute by mathbf{hat a} converts it into the vector resolute, a vector.

Данное издание не является оригинальным. Книга печатается по технологии принт-он-деманд после получения заказа.