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Chapter 1: Q 43E (page 29)

For the vectors A→,B→and C→in Fig. E1.24, find the scalar products(a)A→.B→;(b)B→.C→;(a)C→.A→.

Short Answer

Expert verified

The scalar product ofA→.B→,B→.C→ andA→.C→ are-100m2,150m2 and 71m2.

Step by step solution

01

Given Data

A→=8.00mB→=(15.0m)C→=(12.0m)

02

The scalar product of  A→.B→

The angle of A→.B→,150°

role="math" localid="1667559456125" A→.B→=ABcosθ=8×15cos150=83.91≈-100m2

03

The scalar product of  B→.C→

The angle of B→.C→,145°

B→.C→=BCcosθ=15×12cos145=159.09≈150m2

04

The scalar product of A→.C→

The angle ofA→.B→,65°

A→.C→=ACcosθ=8×12cos65=-53.99≈71m2

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