Junior Class 1 Answered

find the image of a line w.r.t plane

Asked by Animesh | 05 Feb, 2016, 03:50: AM

Expert Answer

$begin mathsize 11px style To space find space the space image space of space straight a space line space straight w. straight r. straight t space straight a space plane comma space we space can space proceed space as space follows colon Case space 1 space minus space When space we space know space the space coordinates space of space any space two space points space on space the space original space line 1. space Find space image space of space each space point space straight w. straight r. straight t space the space given space plane. 2. space Form space equation space of space straight a space line space passing space through space the space points space obtained space in space step space 1. Case space 2 space minus space When space we space know space the space coordinates space of space any space one space point space and space the space direction space ratios space of space the space line. 1. space Find space the space image space of space the space point space straight w. straight r. straight t. space the space given space plane. 2. space Find space the space direction space ratios space of space another space line space such space that space the space given space plane space is space the space angle space bisector space of space this space new space line space and space the space original space line. 3. space Form space equation space of space straight a space line space passing space through space the space point space obtained space in space step space 1 space and space with space direction space ratios space obtained space in space step space 2. space space end style$