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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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figure-out, &

learn.

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» Modulus of dot product is less than or equal to modulus of the vectors

→ `|vec p cdot vec q| <= |vec p| |vec q|`

*plain and simple summary*

nub

*plain and simple summary*

nub

dummy

• Modulus of dot product is less than or equal to the product of modulus of the vectors.

*simple steps to build the foundation*

trek

*simple steps to build the foundation*

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In this page, you will learn about the property of modulus in vector dot product.

Starting on learning "Property of Modulus in dot product". ;; In this page, you will learn about the property of modulus in vector dot product.

What is the modulus of dot product `| vec p cdot vec q |`?

- `=|p| xx |q|`
- `<=|p| xx |q|`
- `>=|p| xx |q|`

The answer is '`<=|p| xx |q|`'.

`vec p cdot vec q = |p||q|cos theta`

`| cos theta |<= 1`, so

`|p||q|cos theta <= |p||q|`

`| vec p cdot vec q |<=|p| xx |q|`

The same can be understood with geometrical meaning as given in figure. `vec q = vec a + vec b`

`|vec q| >= |vec a|`

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

`|vec p cdot vec q | <= |p||q|`

*comprehensive information for quick review*

Jogger

*comprehensive information for quick review*

Jogger

dummy

**Modulus Property of Dot Product: ** For any vectors `vec p` and `vec q`,

`|vec p cdot vec q | <= |p||q|`

*practice questions to master the knowledge*

Exercise

*practice questions to master the knowledge*

Exercise

*your progress details*

Progress

*About you*

Progress

What is the modulus of dot product vector p dot vector q?

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The answer is "less than equal magnitude p multiplied magnitude q". vector p dot vector q = magnitude p multiplied magnitude q cos theta. ;; magnitude of cos theta less than or equal 1.

The same can be understood with geometrical meaning as given in figure.

Modulus of dot product is less than or equal to the product of modulus of the vectors.

Modulus Property of Dot Product: For any vectors p and q ;; magnitude of, vector p dot vector q ; less than or equal; magnitude of vector p multiplied magnitude of vector q