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Chapter 1: Q48E (page 29)

For the two vectors A→and B→in Fig. E1.39, find (a) the scalar product ; (b) the magnitude and direction of the vector product.

Short Answer

Expert verified

The scalar product of A→.B→=-6.62m2and role="math" localid="1667563369947" A→×B→=5.55m2k^.

Step by step solution

01

Given data

A→=3.60mB→=2.4mθ=90∘+20∘+30∘=140∘

02

The scalar product

A→.B→=A→B→cosθ=3.6×2.4×cos140=-6.62m2

03

The scalar product A→×B→

A→.B→=A→B→sinθk^=3.6×2.4×sin140=5.55m2k^

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