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Chapter 1: Q43E (page 29)

For the vectors A鈫�,B鈫�and C鈫�in Fig. E1.24, find the scalar

products . (a) A鈫�.B鈫�; (b) B鈫�.C鈫�;(c) A鈫�.C鈫�

Short Answer

Expert verified

The scalar product of A鈫�.B鈫�, B鈫�.C鈫�, and A鈫�.C鈫� are and -100m2,150m2,71m2.

Step by step solution

01

 Given Data

A鈫�=8.00mB鈫�=15.0mC鈫�=12.0m

02

The scalar product of  A→.B→ 

The angle ofA鈫�.B鈫�,150掳

=ABcos胃

=8脳15cos150

=83.91鈮�-100m2

03

The scalar product of B→.C→ 

The angle of B鈫�.C鈫�,145掳

= BCcos胃

= 15脳12cos145

= 159.09鈮�150m2

04

The scalar product of  

The angle of ,65掳

=ACcos胃
=8脳12cos65

= -53.99鈮�71m2

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