I have been informed that on March 7th from 6:00am to 6:00pm Central Time Lamar University will be doing some maintenance to replace a faulty UPS component and to do this they will be completely powering down their data center.
Unfortunately, this means that the site will be down during this time. I apologize for any inconvenience this might cause.
Paul
February 18, 2026
Section 11.3 : Dot Product
8. Determine if \(\vec w = \vec i + 4\vec j - 2\vec k\) and \(\vec v = - 3\vec i - 12\vec j + 6\vec k\) are parallel, orthogonal or neither.
Show SolutionBased on a quick inspection is seems (hopefully) fairly clear that we have,
\[\vec v = - 3\vec w\]Therefore, the two vectors are parallel.
On a side note an alternate method for working this problem is to find the angle between the two vectors and using that to determine the answer.
Depending on which method you find easiest either will get you the correct answer.