Hi Dr. Taylor, I'm just wondering if on the last portion of the problem if
|w| is really supposed to be ||w|| since vectors don't technically have
absolute values
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We discussed this in class: technically yes, you're a little bit right. It's a common usage to write |w| instead of ||w|| for the very reason you mention: there's no such thing as the absolute value of a vector, so what else could |w| mean but ||w||. There's really no room for confusion so no harm in this usage.

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