Assuming the +x-axis is horizontal to the right for the vectors in the following figure, find the following scalar products: (a) →A · →C ; (b) →A · →F; (c) →D · →C ; (d) →A · (→F + 2 →C); (e) ^i · →B; (f) ^j · →B; (e) (3 ^i − ^j) · →B, and (h) B^ · B→.

Assuming the +x-axis is horizontal to the right for the vectors in the following figure, find the following scalar products: (a) →A · →C ; (b) →A · →F; (c) →D · →C ; (d) →A · (→F + 2 →C); (e) ^i · →B; (f) ^j · →B; (e) (3 ^i − ^j) · →B, and (h) B^ · B→.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter8: Applications Of Trigonometry

Section8.3: Vectors

Problem 11E

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Question

. Assuming the +x-axis is horizontal to the right for the vectors in the following figure, find the following scalar products:

(a) →A · →C ; (b) →A · →F; (c) →D · →C ;

(d) →A · (→F + 2 →C); (e) ^i · →B; (f) ^j · →B;

(e) (3 ^i − ^j) · →B, and (h) B^ · B→.

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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