E hoonui i ka vector me ka helu

Ma kēia paʻi ʻana, e noʻonoʻo mākou pehea e hoʻonui ʻia ai ka vector me kahi helu (ka wehewehe geometric a me ka helu algebraic). Hoʻopaʻa inoa pū mākou i nā waiwai o kēia hana a nānā i nā hiʻohiʻona o nā hana.

Ka wehewehe Geometric o ka hana

Inā ʻo ka vector a e hoonui i ka helu m, a laila loaʻa iā ʻoe kahi vector b, kahi:

• b || a
• |b| = |m| · |a|
• b ↑↑ a, ina m > 0, b ↓ aina m < 0

No laila, ʻo ka huahana o ka ʻole-zero vector ma kahi helu he vector:

• collinear i ka mea kumu;
• alakaʻi hui (inā ʻoi aku ka helu ma mua o ka ʻole) a i ʻole ka ʻaoʻao ʻē aʻe (inā emi ka helu ma mua o ka ʻole);
• Ua like ka lōʻihi me ka lōʻihi o ka vector hoʻokomo i hoʻonui ʻia me ka modulus o ka helu.

ʻO ke kumu no ka hoʻonui ʻana i kahi vector me kahi helu

ʻO ka huahana o kahi vector zero-zero ma kahi helu he vector nona nā koina i like me nā koina pili o ka vector kumu, i hoʻonui ʻia me ka helu i hāʻawi ʻia.