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Question
Answer the following question.
Show that `vec"a" = (hat"i" - hat"j")/sqrt2` is a unit vector.
Solution
`vec"a" = (hat"i" - hat"j")/sqrt2`
`vec"a" = 1/sqrt2 hat"i" - 1/sqrt2hat"j"`
`|vec"a"| = sqrt((1/sqrt2)^2 + ((-1)/sqrt2)^2)`
= `sqrt(1/2 + 1/2)`
= `sqrt1`
`|vec"a"|` = 1
As magnitude of `vec"a"` is 1. `vec"a"` is unit vector.
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