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Thought-Process to Discover Knowledge

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

  nub,

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User Guide    

nub is the simple explanation of the concept.

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exercise provides practice problems to become fluent in the concepts.

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summary of this topic

Vector Cross Product

Vector Cross Product

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Vector Cross Product : Area of Parallelogram Form


 »  component in perpendicular is calculated by the angle
    →  `vec p xx vec q ` ` = |vec p| |vec q| sin theta hat n`
    →  Note that `|vec b| = |vec q| sin theta`
    →  `|vec p||vec b|` is the area of parallelogram with sides `vec p` and `vec q`

Cross Product : Area of Parallelogram

plain and simple summary

nub

plain and simple summary

nub

dummy

Vector cross product can be used to find area of the Parallelogram made by two vectors.

simple steps to build the foundation

trek

simple steps to build the foundation

trek

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In this page, you will learn about computing area of a parallelogram using vector cross product.


Keep tapping on the content to continue learning.
Starting on learning "cross product as area of parallelogram". ;; In this page, you will learn about computing area of a parallelogram using vector cross product.

Vector cross product is understood as product between components in perpendicular. vector cross product area of the parallelogram in the figure, What is the magnitude of `vec p xx vec q` ?

  • the area of the parallelogram OLMN
  • the perimeter of the parallelogram OLMN

The answer is 'the area of the parallelogram OLMN'.

Area of a parallelogram = base `xx` height
The base is `|p|` and the height is `|b|`.

comprehensive information for quick review

Jogger

comprehensive information for quick review

Jogger

dummy

Area of a Parallelogram made by two vectors: Given `vec p` and `vec q`, the area of the parallelogram made by them is
`= |vec p xx vec q|`



           

practice questions to master the knowledge

Exercise

practice questions to master the knowledge

Exercise

Two vectors `vec p` and `vec q` with magnitudes `2` and `3` respectively are at an angle `30^@`. What is the area of the parallelogram made by `vec p` and `vec q`?

  • `2 xx 3 xx sin 30^@`
  • `2 xx 3 xx 1/2`
  • `3`
  • all the above

The answer is 'All the above'

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About you

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Vector cross product is understood as product between components in perpendicular. in the figure, What is the magnitude of vector p cross vector q?
area
the area of the parallelogram OLMN
perimeter
the perimeter of the parallelogram OLMN
The answer is "the area of the parallelogram OLMN". Area of a parallelogram = base multiplied height. The base is magnitude of p and height is magnitude of b.
Vector cross product can be used to find area of the Parallelogram made by two vectors.
Area of a Parallelogram made by two vectors: Given vector p and vector q, the area of the parallelogram made by them is vector p cross vector q.
Two vectors p and q with magnitudes 2 and 3 respectively are at an angle 30 degree. What is the area of the parallelogram made by vector p and vector q?
1
2
3
4
The answer is 'All the above'

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