Haɓaka vector da lamba

A cikin wannan ɗaba'ar, za mu yi la'akari da yadda za a iya ninka vector ta lamba (fassarar geometric da dabarar algebra). Muna kuma lissafta kaddarorin wannan aikin da kuma nazarin misalan ayyuka.

Fassarar Geometric na aikin

Idan vector a ninka da lamba m, to, za ku sami vector b, a ciki:

• b || a
• |b| = |m| · |a|
• b ↑↑ a, idan m > 0, b ↑ ↓ aidan m <0

Don haka, samfurin vector mara sifili ta lamba shine vector:

• collinear zuwa asali;
• co-directional (idan lambar ta fi sifili) ko samun kishiyar shugabanci (idan lambar ta kasance ƙasa da sifili);
• Tsawon yana daidai da tsayin vector ɗin shigarwa wanda aka ninka ta ma'aunin lamba.

Dabarar ninka vector ta lamba

Samfurin vector mara sifili ta lamba vector ne wanda haɗin gwiwarsa yayi daidai da madaidaicin madaidaicin na asali vector, wanda aka ninka ta da lambar da aka bayar.