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Chapter 1: Q46E (page 29)

For the two vectors in Fig. E1.35, find the magnitude and

direction of (a) the vector product A鈫�xB鈫�; (b) the vector product B鈫�xA鈫�.

Short Answer

Expert verified

The direction of B鈫�xA鈫�is opposite to A鈫�xB鈫�.

Step by step solution

01

Given data

A鈫�=2.80cm|B鈫�|=1.90cm胃=60鈭�+60鈭�=120鈭�

02

The vector Product of A→ x B→

|A鈫�脳B鈫�|=|A鈫�||B鈫�|蝉颈苍胃

=2.80脳1.90脳sin120鈭�=2.80脳1.90脳sin(90鈭�+30鈭�)=5.32脳cos30鈭�=5.32脳0.8660=4.16cm

03

The vector Product of 

|B鈫�脳A鈫�|=|B鈫�||A鈫�|蝉颈苍胃

=1.90脳2.80脳sin120鈭�=4.61cm

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