Green Bridge Learning Resource Nchekwa Maka 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.

Ayẹwo Ẹkọ

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.

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
In a column vector, the top number represents movement: A. up B. down C. across D. diagonally Answer: C
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
The vector BA is equal to: A. AB B. -AB C. 2 AB D. 0 Answer: B
Adding (3, 4) and (1, 2) gives: A. (4, 6) B. (2, 2) C. (3, 8) D. (4, 2) Answer: A