Vectors In Two Dimensions
Gbogbo ọrọ náà
A vector carries both size and direction, making it the natural language for displacement, velocity and force. In two dimensions you can add, subtract and scale vectors, and find a magnitude using Pythagoras.
In this lesson you will use vector notation, position vectors and unit vectors, find the magnitude of a vector, and add, subtract and multiply vectors by scalars.
Ebumnobi
- Understand and use vector notation, position vectors and unit vectors.
- Find the magnitude of a vector; add and subtract vectors and multiply a vector by a scalar.
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Ekele diri gi maka imecha ihe karịrị na Vectors In Two Dimensions. Ugbu a na ị na-enyochakwa isi echiche na echiche ndị dị mkpa, ọ bụ oge iji nwalee ihe ị ma. Ngwa a na-enye ụdị ajụjụ ọmụmụ dị iche iche emebere iji kwado nghọta gị wee nyere gị aka ịmata otú ị ghọtara ihe ndị a kụziri.
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Jiri akụkụ a nke nyocha ka ohere iji kụziere ihe ị matara banyere isiokwu ahụ ma chọpụta ebe ọ bụla ị nwere ike ịchọ ọmụmụ ihe ọzọ. Ekwela ka nsogbu ọ bụla ị na-eche ihu mee ka ị daa mba; kama, lee ha anya dị ka ohere maka ịzụlite onwe gị na imeziwanye.
- If a = (4, 1) and b = (1, 3), then a + b =: A. (5, 4) B. (4, 3) C. (3, -2) D. (5, 3) Answer: A
- If a = (4, 1) and b = (1, 3), then a - b =: A. (5, 4) B. (3, -2) C. (-3, 2) D. (3, 2) Answer: B
- The magnitude of (5, 4) is: A. 9 B. √41 C. 20 D. 41 Answer: B
- A unit vector has magnitude: A. 0 B. 1 C. 2 D. its length Answer: B
- Vector addition follows the: A. triangle law B. circle law C. square law D. inverse law Answer: A
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Vectors
View vectors geometrically.
"Algebra and Trigonometry: Vectors" by OpenStax, OpenStax, Rice University, licensed under CC BY 4.0 (https://creativecommons.org/licenses/by/4.0/). Source: https://openstax.org/books/algebra-and-trigonometry/pages/10-8-vectors. Access for free at https://openstax.org/books/algebra-and-trigonometry/pages/1-introduction
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