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91Ó°ÊÓ

Find the vector product A⇶Ä×B⇶Ä(expressed in unit vectors) of the two vectors given in Exercise 1.38. What is the magnitudeof the vector product?

Short Answer

Expert verified

The magnitude of A⇶Ä=8.06,B⇶Ä=5.38.

Step by step solution

01

Given data

A⇶Ä=4.00ι^+7.00J^

role="math" localid="1663679357930" B⇶Ä=5.00ι^-2.00J^

02

The vector product of A→×B→

A⇶Ä×B⇶Äi45j7-2κ00

role="math" localid="1663680300712" =ι^0-0-J^0-0+κ^-8-35

role="math" localid="1663680379933" =0I^+0J^-43κ^

=-43κ^

03

The magnitude of the vector product

The magnitude of vector is,

A⇶Ä=42+72=65=8.06

B⇶Ä=52+22=29=5.3


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