cross product
- noun
- /krɔs ˈprɒdʌkt/
- Specialized
:
producto cruz
- The cross product of two vectors gives a new vector that is perpendicular to both.
Examples
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If you take two vectors A&B, we can define a cross product C equal a cross B.
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We learnt about the cross product of vectors in space.
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What we're looking for is the magnitude or the length of this cross product value.
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In this study, the structure coefficients were based upon total sums of scores and the cross products matrix and are referred to as total structure coefficients.
Academic text (2000) -
In this study, the best predictors of learning achievement in undergraduate asynchronous online courses were prior college academic achievement, expectancy for learning, and the interaction term based on the cross product of prior academic achievement and expectancy.
Academic text (2007) -
Analysis of the data revealed that three independent variables (prior academic achievement (GPA), expectancy for learning, and an interaction term based on the cross product of these two variables) were significant predictors in the model of learning achievement in asynchronous online courses.
Academic text (2007) -
To find the area of a parallelogram formed by two vectors, calculate their cross product.
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In physics, we often use the cross product to find the torque exerted by a force.
Synonyms
An arrow at right angles to two given arrows whose length equals the area of the parallelogram they form
Surface Forms
Morphology
The word 'product' signals a result of a multiplication and 'cross' suggests a crossing or cross-operation, so a learner might infer this is a kind of product formed by a 'cross' action. However, the precise mathematical meaning — a vector in three-dimensional space perpendicular to the two input vectors and produced by a specific operation — is technical and not predictable from the everyday senses of the constituents at B1 level.
Etymology
Cross product The noun cross product comes from the word cross, from the cross sign used for multiplication, and product, meaning a result. Imagine two arrows lying flat and a third arrow sticking out at a right angle; that new arrow is the 'perpendicular' result, so cross product means a vector at right angles to both original arrows.
