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91Ó°ÊÓ

Find the length of each of the vectors In exercises 1 through 3.

2. v⇶Ä=[234].

Short Answer

Expert verified

The length of the vector is about 5.38.

Step by step solution

01

Consider the definition below

The length(or magnitude or norm) of a vectorv⇶ÄinRnis||v⇶Ä||=v⇶Ä.v⇶Ä

02

By using the above definition the length of the vector

By using the above definition, the length of the vector will be.

||v⇶Ä||=v⇶Ä.v⇶Ä=234234=2-2+3-3+4-4=4+9+16=29≈5.38

Hence, the value of the vector is about 5.38.

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