Draw the position representation of the vector A and also the particular representation through point P. Find the magnitude and direction angle of A. (a) A = ⟨4, 0⟩, P = (2, 6) (b) A = ⟨−5, −3⟩, P = (0, 3)

Draw the position representation of the vector A and also the particular representation through point P. Find the magnitude and direction angle of A. (a) A = ⟨4, 0⟩, P = (2, 6) (b) A = ⟨−5, −3⟩, P = (0, 3)

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter10: Analytic Geometry

Section10.6: The Three-dimensional Coordinate System

Problem 9E

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Question

Draw the position representation of the vector A and also the particular representation through point P. Find the magnitude and direction angle of A.
(a) A = ⟨4, 0⟩, P = (2, 6)
(b) A = ⟨−5, −3⟩, P = (0, 3)

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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