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||a|| = 4, ||b|| = 5, and ||a+b|| = 7, what is ||2a-3b||?

 

So what I did was I tried going backwards, by trying to find out what two squares add up to 25, and 4. I know that 3 squared + 4 squared = 25, but what to do from there. And since I don't know the direction of the vectors it makes it harder for me to figure out the actual vector points for a, and b so I was wondering what to do to try and find ||2a-3b||?

 Feb 2, 2020
 #1
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||2a - 3b|| = 2*sqrt(13).

 Feb 2, 2020
 #2
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Are you the guest that has been putting garbage one liners all over the forum?

 Feb 2, 2020

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