but wait, why is it the pentagon inequality and not the triangle inequality?
(hey look at me I finished the lecture)
peanut
This is clearly not a pentagon. (hey I finished the last slide as well)
keenan
:-)
rbunny
Thanks for keeping the slides entertaining! :)
Jamie
When I first saw this, I thought that it might be typo and Professor Crane just read it out when filming the video. When I finished this video, I found that it is a designed trick to make us point out the mistakes or ask our question bravely. Thanks a lot for Professor Crane's well-designed lecture and slides!
whc
haha
small_potato__
In the beginning part of this slide, you said that we need to take the magnitude of c, because it would be bad to scale by a negative number. Wouldn't scaling my a negative number just flip the direction of the vector (or rotate by 180 degrees)?
dranzer
Scaling with a negative number will cause the problem that norm will be negative if we omit the absolute. You know the magnitude doesn't make sense to be negative. From a geometrical point of view, also the absolute of c makes sense. Multiplying -1 to v, will keep the magnitude same but just change the direction.
but wait, why is it the pentagon inequality and not the triangle inequality?
(hey look at me I finished the lecture)
This is clearly not a pentagon. (hey I finished the last slide as well)
:-)
Thanks for keeping the slides entertaining! :)
When I first saw this, I thought that it might be typo and Professor Crane just read it out when filming the video. When I finished this video, I found that it is a designed trick to make us point out the mistakes or ask our question bravely. Thanks a lot for Professor Crane's well-designed lecture and slides!
haha
In the beginning part of this slide, you said that we need to take the magnitude of c, because it would be bad to scale by a negative number. Wouldn't scaling my a negative number just flip the direction of the vector (or rotate by 180 degrees)?
Scaling with a negative number will cause the problem that norm will be negative if we omit the absolute. You know the magnitude doesn't make sense to be negative. From a geometrical point of view, also the absolute of c makes sense. Multiplying -1 to v, will keep the magnitude same but just change the direction.