Determine which of the following vectors are equal:๐ข1=1,2,3,๐ข2=2,3,1,ย ๐ข3=1,3,2,ย ๐ข4=2,3,1
Question
Determine which of the following vectors are equal:๐ข1=1,2,3,๐ข2=2,3,1,ย ๐ข3=1,3,2,ย ๐ข4=2,3,1
Solution
To determine if vectors are equal, we need to compare their corresponding components.
Let's compare each vector:
๐ข1 = 1,2,3 ๐ข2 = 2,3,1 ๐ข3 = 1,3,2 ๐ข4 = 2,3,1
Comparing ๐ข1 and ๐ข2, we see that their components are not the same. So, ๐ข1 is not equal to ๐ข2.
Comparing ๐ข1 and ๐ข3, we see that their components are not the same. So, ๐ข1 is not equal to ๐ข3.
Comparing ๐ข1 and ๐ข4, we see that their components are not the same. So, ๐ข1 is not equal to ๐ข4.
Comparing ๐ข2 and ๐ข3, we see that their components are not the same. So, ๐ข2 is not equal to ๐ข3.
Comparing ๐ข2 and ๐ข4, we see that their components are the same. So, ๐ข2 is equal to ๐ข4.
Comparing ๐ข3 and ๐ข4, we see that their components are not the same. So, ๐ข3 is not equal to ๐ข4.
So, the only vectors that are equal are ๐ข2 and ๐ข4.
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