txhawm rau nrhiav cov vector binormal, koj yuav tsum ua ntej nrhiav chav tsev tangent vector, ces chav tsev vector. qhov twg yog vector thiab \displaystyle \left \| r(t)\tau \| yog qhov loj ntawm vector.
tus lej binormal txhais li cas?
Tus binormal vector txhais tau tias yog, → B(t)=→ T(t) × → N(t) Vim tias tus binormal vector txhais tau tias yog tus ntoo khaub lig cov khoom ntawm chav tsev tangent thiab chav tsev ib txwm vector peb mam li paub tias binormal vector yog orthogonal rau ob qho tib si tangent vector thiab cov vector ib txwm.
Dab tsi yog qhov sib txawv ntawm qhov nkhaus?
: qhov ib txwm mus rau qhov nkhaus ntawm qhov taw tes ntawm qhov nkhaus uas yog perpendicular rau osculating dav hlau ntawm nkhaus ntawm qhov taw tes.
Dab tsi yog tangent normal thiab binormal?
Lub tangent, ib txwm, thiab binormal unit vectors, feem ntau hu ua T, N, thiab B, los yog sib sau ua ke Frenet-Serret thav duab lossis TNB ncej, ua ke ua ib qho chaw orthonormal spanning R 3thiab tau txhais raws li hauv qab no: T yog unit vector tangent rau qhov nkhaus, taw tes rau hauv kev taw qhia.
Nws txhais li cas yog tias tus binormal vector tsis tas li?
Yog, thiab yog B yog qhov tsis tu ncua, qhov nkhaus nyob hauv ib lub dav hlau nrog cov vector li qub. Lub dav hlau osculating yeej tsis hloov, thiab yog li qhov nkhaus nyob hauv lub dav hlau ruaj khov.
