| 单词 | scalar product |
| 例句 | To calculate the angle between two vectors, you multiply them together using the scalar product and then divide by the two vector lengths. How Recommendation Algorithms Work—And Why They May Miss the Mark 2023-08-17T04:00:00Z As we have seen, the dot product is often called the scalar product because it results in a scalar. Calculus, Volume 3 2016-03-30T00:00:00Z Joules are applied only if this torque moves through a unitless vector rotation, with the scalar product yielding the scalar quantity of energy. Units: Don't tamper with SI-unit consistency : Nature : Nature Research 2017-09-12T04:00:00Z The converse is also true: If the vectors are coplanar, then their triple scalar product is zero. Calculus, Volume 3 2016-03-30T00:00:00Z For this reason, the dot product is often called the scalar product. Calculus, Volume 3 2016-03-30T00:00:00Z Note that, as the name indicates, the triple scalar product produces a scalar. Calculus, Volume 3 2016-03-30T00:00:00Z The dot product of a vector with the cross product of two other vectors is called the triple scalar product because the result is a scalar. Calculus, Volume 3 2016-03-30T00:00:00Z We have seen how to use the triple scalar product and how to find a vector orthogonal to a plane. Calculus, Volume 3 2016-03-30T00:00:00Z If the triple scalar product of vectors u, v, and w is zero, then the vectors are coplanar. Calculus, Volume 3 2016-03-30T00:00:00Z |
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