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b3.4_5.1_1.1____1. title: The length of a vector can be expressed as the dot product of itself.

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b3.4_5.1_1.1____2. title: A user can define a custom inner product. If a new inner product is defined, the definition of the length of a vector will be changed. But there are certain conditions must be met for the inner product to be considered valid.

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The length of a vector(from1) can be expressed as the dot product of itself(참고1).

For example, a 2-dimension vector “a” is:

\mathrm{a}=(2,3)

The length of the vector a is:

\mathrm{length(a) = \sqrt{dot(a,a)} = \sqrt{2*2+3*3} = \sqrt{13}}

The mathematical notation for dot product is shown as follows:

\mathrm{{\lang}a,b{\rang}}

The mathematical notation for the length of a vector is shown as follows:

\mathrm{||a||}

Hence, the length of vector a can be expressed as:

\mathrm{||a|| =\ \sqrt{{\lang}a,a{\rang}}}

parse me : 언젠가 이 글에 쓰이면 좋을 것 같은 재료들.

None

from : 과거의 어떤 생각이 이 생각을 만들었는가?

supplementary : 어떤 새로운 생각이 이 문서에 작성된 생각을 뒷받침하는가?

None

opposite : 어떤 새로운 생각이 이 문서에 작성된 생각과 대조되는가?

None

to : 이 문서에 작성된 생각이 어떤 생각으로 발전되고 이어지는가?

b3.4_5.1_1.1____2. title:
A user can define a custom inner product. If a new inner product is defined, the definition of the length of a vector will be changed. But there are certain conditions must be met for the inner product to be considered valid.

참고 : 레퍼런스

The inner product gives a structure to the vector space E: first by defining orthogonal vectors, second by defining a "norm" over E and, consequently, a "distance" from a vector to another