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Thought-Process to Discover Knowledge

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Books and other education websites provide "matter-of-fact" knowledge. Instead, nubtrek provides a thought-process to discover knowledge.

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Books and other education websites provide "matter-of-fact" knowledge. Instead, nubtrek provides a thought-process to discover knowledge.

In each of the topic, the outline of the thought-process, for that topic, is provided for learners and educators.

Read in the blogs more about the unique learning experience at nubtrek.continue

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The content is presented in small-focused learning units to enable you to

think,

figure-out, &

learn.

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nubtrek is designed to explain mathematics and science for young readers. Every topic consists of four sections.

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» vector dot product does not have multiplicative inverse

*plain and simple summary*

nub

*plain and simple summary*

nub

dummy

• Dot product is not invertible - No multiplicative inverse and no definition of division.

*simple steps to build the foundation*

trek

*simple steps to build the foundation*

trek

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In this page, you will learn that the dot product does not have a multiplicative inverse.

Starting on learning "no multiplicative inverse for vector dot product". ;; In this page, you will learn that the dot product does not have a multiplicative inverse.

What does 'inverse' mean?

- same; identical; similar
- opposite; converse

The answer is 'opposite; converse'.

For two vectors `vec p` and `vec q`, the vector dot product is given by multiplication of

• magnitude of one vector and

• the magnitude of the component of second vector in parallel to the first vector

`vec p cdot vec q = |p| |a|`

where `|a|` is the component of `vec q` in the direction of `vec p`.

Given `vec p cdot vec q` and `vec p` can `vec q` be calculated?

What is division?

- inverse of multiplication
- does not have any relation to multiplication

The answer is 'inverse of multiplication'.

Since dot product is not invertible, the inverse of dot product -- a division -- is not defined.

*comprehensive information for quick review*

Jogger

*comprehensive information for quick review*

Jogger

dummy

**Dot Product - No Multiplicative Inverse: ** For any vector `vec p, vec q in bbb V` it is not possible to calculate `vec q` using the values `vec p` and `vec p cdot vec q`.

*practice questions to master the knowledge*

Exercise

*practice questions to master the knowledge*

Exercise

*your progress details*

Progress

*About you*

Progress

What does 'inverse' mean?

same;identical;similar

same; identical; similar

opposite;converse

opposite; converse

The answer is 'opposite; converse'.

For two vectors p and q, the vector dot product is given by multiplication of ; magnitude of one vector and the magnitude of the component of the second vector in parallel to the first vector. ;; vector p dot vector q = magnitude of p multiplied magnitude of a, where magnitude of a is the component of vector q in the direction of vector p. ;; Given vector p dot vector q and vector p, can vector q be calculated?

What is division?

inverse

inverse of multiplication

does;not;have

does not have any relation to multiplication

The answer is 'inverse of multiplication'.

Since dot product is not invertible, the inverse of dot product -- a division -- is not defined.

Dot product is not invertible - No multiplicative inverse and no definition of division.

Dot Product - No Multiplicative Inverse: For any vector p, q in vector space v, it is not possible to calculate vector q using the values vector p and vector p dot vector q.