Ka neʻe ʻana o Vector - nā pilikia a me nā hoʻonā
1. Hele kekahi kanaka mai kahi A a i kahi B, 600 mika ma ka ʻākau; a laila i kahi C, 400 mika ma ke komohana; a laila i kahi D, 200 mika ma ka hema; a laila hoʻopau ma kahi E, 700 mika ma ka hikina. He aha ka nui o ka neʻe ʻana?
Lōlā:
ʻIke ʻia:
AF = AB – BF = AB – CD = 600 – 200 = 400 m
EF = DE – DF = DE – BC = 700 – 400 = 300 m
2. Hele kekahi kanaka i 10 mika i ke komohana , a laila 12 mika i ka hema , a laila 15 mika i ka hikina . He aha ka neʻe ʻana mai ke kiko mua?
3. Hele kekahi kanaka i 1 mika ma ke komohana, a laila 3 mika ma ka hema, a laila 5 mika ma ka hikina. He aha ka neʻe ʻana mai ke kiko mua?
4. He aha ka neʻe ʻana o ka mea e like me ke kiʻi ma lalo nei.
5. Hele kekahi kanaka i 80 mika i ke kūkulu ʻākau, a laila 80 mika i ka hikina a laila 20 mika i ke kūkulu hema. He aha ka neʻe ʻana o ke kanaka?
6. Hele kekahi kanaka i 6 mika hikina, a laila 6 mika hema a laila 2 mika hikina. He aha ka neʻe ʻana o ke kanaka?
7. Neʻe kekahi mea i 40 mika hikina, a laila neʻe i kahi kuhikuhi 37 o ʻākau o ka hikina no 100 mika, a laila 100 mika ʻākau. He aha ka neʻe ʻana o ka mea? sin 37 o = 0.6.
ʻIke ʻia:
Makemake ʻia: Ka nui o ka neʻe ʻana (R)
Lōlā:
Sin 37 o = c / d
0.6 = c / 100
c = (100)(0.6)
c = 60 mika
ʻO ka vector hopena:
8. Neʻe kekahi mea he 4√3 mika ma ke komohana, a laila he 4 mika ma ke kūkulu ʻākau, a laila neʻe i kahi kuhikuhi he 60 o hikina mai ke kūkulu ʻākau no 8 mika. He aha ka hopena o ka neʻe ʻana?
ʻIke ʻia:
a = a' = 4√3 mika
b = b' = 4 mika
c = 8 mika
d = ……
Makemake ʻia: ʻO ka hopena o ka neʻe ʻana
Lōlā:
sin 30 o = d / c
0.5 = d / 8
d = (0.5)(8)
d = 4 mika
ʻO ka hopena o ka neʻe ʻana:
R = b' + d
R = 4 mika + 4 mika
R = 8 mika
1. Nīnau: He aha ka neʻe ʻana o ka vector? Pane: ʻO ka neʻe ʻana o ka vector kahi nui vector e wehewehe ana i ka loli o ke kūlana o kahi mea. Loaʻa iā ia ka nui a me ke kuhikuhi, e kuhikuhi pololei ana mai ke kūlana hoʻomaka a i ke kūlana hope loa, me ka nānā ʻole i ke ala i lawe ʻia.
2. Nīnau: Pehea ka ʻokoʻa o ka neʻe ʻana o ka vector mai ka mamao i hele ʻia? Pane: Hōʻike ka mamao i hele ʻia i ka lōʻihi holoʻokoʻa o ke ala i lawe ʻia e kahi mea, a he nui scalar ia. ʻO ka neʻe ʻana o ka vector, ma ka ʻaoʻao ʻē aʻe, e wehewehe ana i ka mamao laina pololei pōkole loa ma waena o nā kiko hoʻomaka a me nā kiko hopena, me kahi kuhikuhi kikoʻī, e lilo ia i nui vector.
3. Nīnau: Inā hele kekahi kanaka i 3 km i ka ʻākau a laila 4 km i ka hikina, he aha ka neʻe ʻana o ka hopena? Pane: Ma ka hoʻohana ʻana i ka theorem Pythagorean no nā huinakolu ʻākau, ʻo ka neʻe ʻana o ka hopena he √ 3 2 + 4 2 ʻo ia hoʻi he 5 km. ʻO ke kuhikuhi he hikina ʻākau.
4. Nīnau: Hiki i ka nui o ka neʻe ʻana ke ʻoi aku ma mua o ka mamao holoʻokoʻa i hele ʻia? Pane: ʻAʻole, ʻaʻole hiki i ka nui o ka neʻe ʻana ke ʻoi aku ma mua o ka mamao holoʻokoʻa i hele ʻia. Hiki ke like inā he laina pololei ke ala a emi mai paha inā ʻaʻole pololei ke ala i hele ʻia.
5. Nīnau: Pehea e hōʻike ai kekahi i ka neʻe ʻana o ka vector ma ke ʻano kiʻi? Pane: Hōʻike ʻia ka neʻe ʻana o ka vector ma ke ʻano kiʻi e kahi pua. Hōʻike ke kiko hoʻomaka o ka pua i ke kūlana mua, hōʻike ka piko o ka pua i ke kūlana hope loa, a kūlike ka lōʻihi o ka pua me ka nui o ka neʻe ʻana.
6. Nīnau: No ke aha he mea nui ka hoʻohui vector i ka helu ʻana i ka neʻe ʻupena? Pane: He mea koʻikoʻi ka hoʻohui vector no ka mea i ka wā e pili ana nā neʻe he nui, ʻaʻole paha lākou a pau ma ke kuhikuhi like. Ma ka hoʻohui ʻana i nā vectors poʻo-a-huelo, hiki iā mākou ke hoʻoholo i ka neʻe holoʻokoʻa a i ʻole ka neʻe ʻupena o kahi mea ma hope o kekahi mau neʻe ʻana.
7. Nīnau: Inā hoʻi kahi mea i kona wahi hoʻomaka ma hope o ka neʻe ʻana a puni, he aha kona neʻe ʻana? Pane: Inā hoʻi kahi mea i kona wahi hoʻomaka, ʻo kona neʻe ʻana he ʻole no ka mea ua like nā kūlana mua a me nā kūlana hope.
8. Nīnau: Hiki i ka neʻe ʻana ke loaʻa kahi waiwai maikaʻi ʻole? Pane: ʻAʻohe waiwai "maikaʻi ʻole" o ka neʻe ʻana iā ia iho ma ke ʻano he vector, akā hiki i kāna mau ʻāpana. No ka laʻana, inā manaʻo mākou i ka ʻākau he maikaʻi, ʻo ka neʻe ʻana i ka hema e loaʻa kahi ʻāpana maikaʻi ʻole. Pili ia i ka ʻōnaehana kuhikuhi a i ʻole ka ʻōnaehana hoʻonohonoho i koho ʻia.
9. Nīnau: No ke aha i ʻōlelo ʻia ai he vector "resultant" ka neʻe ʻana? Pane: Ua kapa ʻia ka neʻe ʻana he vector "resultant" no ka mea ke hōʻike nei ia i ka hopena i hui pū ʻia o nā neʻe āpau (a i ʻole nā neʻe ʻana) i hana ʻia e kahi mea. Hōʻuluʻulu ia i ka loli holoʻokoʻa o ke kūlana.
10. Nīnau: Pehea e hoʻoholo ʻia ai ke kuhikuhi o ka vector neʻe ʻana? Pane: Hoʻoholo ʻia ke kuhikuhi o ka vector neʻe ʻana e ka laina e hoʻohui ana i ke kūlana hoʻomaka a me ke kūlana hope loa. Kuhikuhi pololei ia mai ka hoʻomaka a i ka hopena.
