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Chapter 1: Q44E (page 1)

Question: Find the vector product A鈫�脳B鈫�(expressed in unit vectors)

of the two vectors given in Exercise 1.38. What is the magnitude

of the vector product?

Short Answer

Expert verified

The magnitude of A鈫�=8.06,|B鈫�|=5.38.

Step by step solution

01

Given data

A鈫�=4.00i+7.00jB鈫�=5.00i-2.00j

02

The vector product of A→ x B→

A鈫�脳B鈫�=i铃�j铃�k铃�4705-20=i铃�(0-0)-j铃�(0-0)+k铃�(-8-35)=0i铃�+0j铃�-43k铃�=-43k铃�

03

The magnitude of the vector product

The magnitude of vector is,

A鈫�=42+72=65=8.06B鈫�=52+22=29=5.3

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