Ngā Vectors Ōrite

I roto i tenei whakaputanga, ka whakaarohia e tatou ko wai nga vector e kiia ana he rite me pehea te whakatau i to raatau rite. Ka wetewete ano hoki i nga tauira o nga mahi mo tenei kaupapa.

Te ahua o te rite o nga vectors

Whakawhiti a и b he rite ki te mea he rite , e takoto ana i runga i nga rarangi whakarara kotahi, me te tohu ano ki te taha kotahi. Arā, he collinear, he whakahāngai-tahi, he rite te roa o aua vectors.

a = b, mena a ↑↑ b me |a| = |b|.

Tuhipoka: he rite nga vectors mena he rite o ratou taunga.

He tauira mahi

Tūmahi 1

Ko tehea o nga vectors he rite: a = {6; 8}, b = {-2; 5} и c = {6; 8}.

Te whakatau:

He rite o nga vectors kua whakarārangitia a и c, i te mea he rite tonu nga taunga:

a_x = c_x = 6

a_y = c_y = 8.

Tūmahi 2

Kia kimihia he aha te uara n pere a = {1; 18; 10} и b = {1; 3n; 10} ōrite.

Te whakatau:

Tuatahi, tirohia te orite o nga taunga e mohiotia ana:

a_x = b_x = 1

a_z = b_z = 10

Kia pono ai te orite, me penei a_y = b_y:

3n = 18, no reira n = 6.