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

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

*plain and simple summary*

nub

*plain and simple summary*

nub

dummy

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

*simple steps to build the foundation*

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*simple steps to build the foundation*

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

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

What is the modulus of cross product `| vec p xx vec q |`?

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

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

`vec p xx vec q = |p||q|sin theta hat n`

`| sin theta |<= 1`, so

`|p||q|sin theta <= |p||q|`

`| vec p xx 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 b|`

`|vec p xx vec q | = |p||b|`

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

*comprehensive information for quick review*

Jogger

*comprehensive information for quick review*

Jogger

dummy

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

`|vec p xx 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 cross product?

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2

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The answer is "less than magnitude of p multiplied magnitude q". Vector p cross vector q = magnitude of p, magnitude q, sine theta n hat. Magnitude of sine theta is less than 1 ;; so the magnitude of cross product is less than product of magnitude of the vectors.

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

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

Modulus Property of cross Product: For any vectors p and q; vector p cross vector q <= magnitude of p, magnitude of q.