Nā Vector Kaulike

Ma kēia hoʻolaha, e noʻonoʻo mākou i nā vectors i kapa ʻia e like a pehea e hoʻoholo ai i ko lākou kaulike. E kālailai pū mākou i nā laʻana o nā hana ma kēia kumuhana.

Ke kūlana o ke kaulike o nā vectors

Nā Kūlana a и b ua like ina ua like ko lakou , moe lakou ma na kaha like a kaulike paha, a kuhikuhi no hoi i ka aoao hookahi. ʻO ia hoʻi, ʻo ia mau vectors he collinear, co-directed a like ka lōʻihi.

a = b, ina a ↑↑ b a me |a| = |b|.

'Ōlelo Aʻo: ua like nā vectors inā like ko lākou mau hoʻonohonoho.

Nā laʻana o nā hana

Hana 1

ʻO wai o nā vectors i like: a = {6; 8}, b = {-2; 5} и c = {6; 8}.

Hoʻoholo:

ʻO nā vectors i helu ʻia he like a и c, no ka mea, ua like ko lakou mau koina:

a_x = c_x = 6

a_y = c_y = 8.

Hana 2

E ʻike kākou i ka waiwai n poloka a = {1; 18; 10} и b = {1; 3n; 10} mea kaulike.

Hoʻoholo:

ʻO ka mea mua, e nānā i ka kaulike o nā hoʻonohonoho i ʻike ʻia:

a_x = b_x = 1

a_z = b_z = 10

No ka pono kaulike, pono ia a_y = b_y:

3n = 18, no laila n = 6.