Is $\underline{k} = \langle 0,0,1 \rangle$ by Definition in Vector Notation?

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Joe20
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Not sure how I should do this question. I have attached my workings with some questions in it. appreciate the help.

View attachment 7978

View attachment 7977
 

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Isn't $\underline{k} = \langle 0,0,1 \rangle$, by definition?
 

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