Scalar Resolute
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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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GarantieWeitere Informationen
- Allgemeine Informationen
- GTIN 09786131151880
- Editor Lambert M. Surhone, Miriam T. Timpledon, Susan F. Marseken
- EAN 9786131151880
- Format Fachbuch
- Titel Scalar Resolute
- Herausgeber Betascript Publishing
- Anzahl Seiten 136
- Genre Musik
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