Издательство: | Книга по требованию |
Дата выхода: | июль 2011 |
ISBN: | 978-6-1311-5188-0 |
Объём: | 136 страниц |
Масса: | 227 г |
Размеры(В x Ш x Т), см: | 23 x 16 x 1 |
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.
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