The figure shows a vector a in the xy-plane and a vector b in the direction of k. Their lengths are |a| = 6 and |b| = 5. (a) Find |a × b|. (b) Use the right-hand rule to decide whether the components of a × b are positive, negative, or 0. x-component y-component z-component

The figure shows a vector a in the xy-plane and a vector b in the direction of k. Their lengths are |a| = 6 and |b| = 5. (a) Find |a × b|. (b) Use the right-hand rule to decide whether the components of a × b are positive, negative, or 0. x-component y-component z-component

Trigonometry (MindTap Course List)

10th Edition

ISBN:9781337278461

Author:Ron Larson

Publisher:Ron Larson

Chapter3: Additional Topics In Trigonometry

Section: Chapter Questions

Problem 6PS

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The figure shows a vector a in the xy-plane and a vector b in the direction of k. Their lengths are |a| = 6 and |b| = 5.

(a) Find |a × b|.

(b) Use the right-hand rule to decide whether the components of a × b are positive, negative, or 0.

x-component
y-component
z-component

Quantities that have magnitude and direction but not position. Some examples of vectors are velocity, displacement, acceleration, and force. They are sometimes called Euclidean or spatial vectors.

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