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Determine which of the following vectors are equal:๐‘ข1=1,2,3,๐‘ข2=2,3,1,ย ๐‘ข3=1,3,2,ย ๐‘ข4=2,3,1

Question

Determine which of the following vectors are equal:๐‘ข1=1,2,3,๐‘ข2=2,3,1,ย ๐‘ข3=1,3,2,ย ๐‘ข4=2,3,1

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Solution

To determine if vectors are equal, we need to compare their corresponding components.

Let's compare each vector:

๐‘ข1 = 1,2,3 ๐‘ข2 = 2,3,1 ๐‘ข3 = 1,3,2 ๐‘ข4 = 2,3,1

Comparing ๐‘ข1 and ๐‘ข2, we see that their components are not the same. So, ๐‘ข1 is not equal to ๐‘ข2.

Comparing ๐‘ข1 and ๐‘ข3, we see that their components are not the same. So, ๐‘ข1 is not equal to ๐‘ข3.

Comparing ๐‘ข1 and ๐‘ข4, we see that their components are not the same. So, ๐‘ข1 is not equal to ๐‘ข4.

Comparing ๐‘ข2 and ๐‘ข3, we see that their components are not the same. So, ๐‘ข2 is not equal to ๐‘ข3.

Comparing ๐‘ข2 and ๐‘ข4, we see that their components are the same. So, ๐‘ข2 is equal to ๐‘ข4.

Comparing ๐‘ข3 and ๐‘ข4, we see that their components are not the same. So, ๐‘ข3 is not equal to ๐‘ข4.

So, the only vectors that are equal are ๐‘ข2 and ๐‘ข4.

This problem has been solved

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