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Obtain the magnitude of 2vecA - 3vecB if...

Obtain the magnitude of `2vecA - 3vecB` if `vecA = hati + hatj - 2hatk` and `B = 2hati - hatj + hatk`.

Text Solution

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`2vecA - 3vecB = 2(hati + hatj - 2hatk) - 3(2hati - hatj + hatk)`
`:.` Magnitude of
`2vecA - 3vecB = sqrt((-4)^2 + (5)^2 + (-7)^(2))`
`sqrt(16 + 25 + 49) = sqrt(90)`.
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