Vector Geometry
Gbogbo ọrọ náà
A vector has both size and direction, which makes it the natural way to describe movement, force or displacement. Adding vectors lets you combine journeys or pushes, and expressing one vector in terms of others is a powerful way to prove geometric facts.
In this lesson (Extended tier) you will represent vectors by directed line segments, use position vectors, add and subtract vectors to express others in terms of two given vectors, and use vectors to reason about geometry.
Ebumnobi
- Represent vectors by directed line segments.
- Use position vectors.
- Use the sum and difference of two or more vectors to express given vectors in terms of two coplanar vectors.
- Use vectors to reason and to solve geometric problems.
Akọmọ Ojú-ẹkọ
Ọ dị na ngwa Green Bridge
Budata ngwa Green Bridge CBT na ekwentị maọbụ kọmputa gị iji nweta akwụkwọ ndụmọdụ zuru oke, ajụjụ mmụta, na ndị ọzọ.
Ayẹwo Ẹkọ
Ekele diri gi maka imecha ihe karịrị na Vector Geometry. 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.
- If a = (4, 1) and b = (1, 3) as column vectors, what is a + b? A. (5, 4) B. (4, 3) C. (3, 2) D. (5, 3) Answer: A
- A vector has both: A. size only B. direction only C. size and direction D. neither Answer: C
- The magnitude of the vector (5, 4) is: A. 9 B. √41 C. 20 D. 41 Answer: B
- Vector addition follows the: A. circle law B. triangle law C. square law D. inverse law Answer: B
- If a = (3, 2) and b = (1, 5), what is a - b? A. (2, -3) B. (4, 7) C. (-2, 3) D. (2, 3) Answer: A
Ọ dị na ngwa Green Bridge
Budata ngwa Green Bridge CBT na ekwentị maọbụ kọmputa gị iji nweta akwụkwọ ndụmọdụ zuru oke, ajụjụ mmụta, na ndị ọzọ.
Ọ dị na ngwa Green Bridge
Budata ngwa Green Bridge CBT na ekwentị maọbụ kọmputa gị iji nweta akwụkwọ ndụmọdụ zuru oke, ajụjụ mmụta, na ndị ọzọ.
Àwọn Ìwé Tó Dáa Láti Kà
Meecha Ajụjụ Ule Ọmarịcha
Ị chọrọ ime ajụjụ ule ọmarịcha gbasara Vector Geometry? Budata ngwa Green Bridge CBT iji nweta ajụjụ ule ọmarịcha na nyocha zuru ezu gbasara isiokwu a.
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