The Vector Dot Product

We learned how to add and subtract vectors, and we learned how to multiply vectors by scalars, but how can we multiply two vectors together? There are two ways to do this, and one of them is called the dot product. Let's learn how to find the dot product of two vectors now!
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Perfect timing! Im doing this in my physics class

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This will be very helpful for the graphical/game dev stuff with C

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thanks, taking quantum mechanics and wasn't paying attention to the plus sign during lecture. now things make more sense. Scalar Product is Dot Product to find a Scalar Value.

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Kudos sir👍

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first day of college and i couldnt understand a thing from my prof and here i am. i wasnt able to answer any of the questions he asked but now i realize it was such an easy subject

[@ItCanAlwaysGetWorse]

Wonderful explanation. Very clear and succinct.
I would only add the 2d visual notion that "vector dot product" (of two vectors) is obtained by multiplying the length of either vector by the "projection" of one vector over the other (think of laying the angles vectors flat on a table, and having a lamp illuminating from "above". You would multiply the length of the vector laying flat by the length of the shadow of the companion.).

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was never taught this in school but need it now

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[@TheRojo387]

Btw Dave, I have cracked vector rotation, relying entirely on scalar and dot products. My solve can also be extended to higher dimensions, as I also standardise with the right-hand rule.
I also note that you can find the angle by looking for one co-ordinate on a unit circle, and measure the area beneath it and add the triangle adjacent to it and with its opposite point at the origin, and multiply all by two, to get the answer in radians.
But if degrees are your fancy, you gotta multiply instead by 90/π!
Or…you could just use a protractor. Et voilà; no calculator needed!

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Thank you!!!

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Thank you professor. You made dot product as a pice of cake to me:) love your explanation

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professor, very informative lecture. Thanks.
Can you post a video for understanding Eigen Vector and Eigen value?

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Superb!

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Thank you for your video