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What are the two words used to mathematically describe the line length multiplier?

A. Length quotient

B. Magnitude factor

C. Scalar product

D. Scale factor

1 Answer

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Final answer:

The line length multiplier in mathematics is described as the 'scale factor' which is the ratio of corresponding lengths in two similar figures, or when scaling vectors by a scalar. The correct choice is D. Scale

Step-by-step explanation:

The two words used to mathematically describe the line length multiplier refer to the concept of scale factor. A scale factor is the ratio of any two corresponding lengths in two similar geometric figures. In the context of vectors, when a vector A is multiplied by a scalar quantity c, the magnitude, or the length, of the product is the scalar multiple cA. If c is positive, it keeps the direction the same; if c is negative, it reverses it.

The two words used to mathematically describe the line length multiplier are Scale factor. When a vector is multiplied by a scalar quantity, the magnitude of the product is given by the scalar multiplication. In this case, the scalar quantity is the scale factor which determines how much the vector is stretched or shrunk.

For example, if the scale factor is 2, the vector will be doubled in length. If the scale factor is 0.5, the vector will be halved in length .For example, using a scale factor, we can determine the linear magnification of an image or relate the dimensions of a model to its real-life counterpart.

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