Mathematics (US) - 0444 CIE

Vector Notation

Gbogbo ọrọ náà

A vector describes a movement: how far and in which direction. Writing it as a directed line segment, such as \(\overrightarrow{AB}\), or as a column of components, gives a precise, calculable way to handle displacement and direction together.

In this lesson you will use vector notation, including the directed line segment \(\overrightarrow{AB}\) and column (component) form, and see how the two notations describe the same movement.

Ebumnobi

  1. Use vector notation, including the directed line segment AB and column (component) form.

Nkuzi Olu

Gee ntị na nkuzi a na ngwa

Maapụ uche

E seela isiokwu a ka ị hụ otu echiche si ejikọta.

Mepee maapụ uche na ngwa

Kaadị ncheta

Omume ncheta ngwa ngwa n'ihe a na-anwale n'isiokwu a.

Mee omume kaadị ndị a na ngwa

Akwụkwọ Ọmụmụ

Vectors are the language of movement and force. Clear notation lets you add journeys, reverse them and combine them, which is the basis of all vector work later in the course.

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Nnyocha Ọmụmụ

Ekele diri gi maka imecha ihe karịrị na Vector Notation. 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.

Ị ga-ahụ ngwakọta nke ụdị ajụjụ dị iche iche, gụnyere ajụjụ chọrọ ịhọrọ otu n’ime ọtụtụ azịza, ajụjụ chọrọ mkpirisi azịza, na ajụjụ ede ede. A na-arụpụta ajụjụ ọ bụla nke ọma iji nwalee akụkụ dị iche iche nke ihe ọmụma gị na nkà nke ịtụgharị uche.

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.

  1. The notation AB with an arrow means the movement: A. from B to A B. from A to B C. the midpoint D. the length only Answer: B
  2. In a column vector, the top number represents movement: A. up B. down C. across D. diagonally Answer: C
  3. If A = (1, 2) and B = (4, 6), the vector AB is: A. (3, 4) B. (5, 8) C. (-3, -4) D. (4, 6) Answer: A
  4. The vector BA is equal to: A. AB B. -AB C. 2 AB D. 0 Answer: B
  5. Adding (3, 4) and (1, 2) gives: A. (4, 6) B. (2, 2) C. (3, 8) D. (4, 2) Answer: A

Rue ajuju ndi a n'ime ngwa ahu

Rue ajuju ndi a n'ime ngwa ahu

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