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Question
Find the value or values of m for which `"m"(hat"i" + hat"j" + hat"k")` is a unit vector
Sum
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Solution
The given vector is `"m"(hat"i" + hat"j" + hat"k")`
Given that it is a unit vector.
∴ `|"m"(hat"i" + hat"j" + hat"k")|` = 1
`|"m"(hat"i" + hat"j" + hat"k")|` = 1
`"m"(+- sqrt(1^2 + 1^2 + 1^2))` = 1
m = `+- 1/sqrt(3)`
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