Let v = 2j and let u be a vector with length 8 that starts at the origin and rotates in the xy-plane. find the maximum and minimum values of the length of the vector u * v.

Question

Nia Donaldson

Mathematics

29 September, 16:21

Let v = 2j and let u be a vector with length 8 that starts at the origin and rotates in the xy-plane. find the maximum and minimum values of the length of the vector u * v.

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Adrienne · Answer 1

The magnitude of the cross product is the product of the magnitudes of the vectors (2 and 8) and the sine of the angle between them. If we take length to be a non-negative measure, then the length of u * v will vary from 0 to 16.

The maximum length is 16.

The minimum length is 0.