Linear Algebra 3b3: Decomposition with Geometric Vectors 3

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  1. MathTheBeautiful
  2. Linearity
  3. Eigenvalues
  4. Grinfeld
  5. Vector
  6. Null Space
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Комментарии
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I thought the vector a is coming out of the board. It is not.

maxpercer
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The way it is drawn, it gives the impression that b should have zero projection on c because of them orthogonal.

ahmedhemani
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If b is orthogonal to c, shouldn't it be 0.b in the combination? How about using the 45º to solve?

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"But b contributes nothing to c. The angle between b and c is zero. Oh! You mean we are in 2D, now I see why you first calculate c-b...", these thought process shows us we still refer to a coordinate system to work with geometric vectors. But still this is an interesting exercise, it's kind of a puzzle that tricks with dimensions

budokan
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@Math the Beautiful. In the previous video i commented on the decomposition of "c". Similarly, here also there is this problem of writing "a" as a linear combination of "c " and "b". The point is that I have not understood something that you have been repeating a lot many times on addition of two vectors. Please help me out with that.

amarparajuli
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You could solve this question geometrically using cosine 45º too.

DrLeandroAzevedo
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Could you make captions for your videos?

theflaggeddragon