Thelinel₁andl₂intersectatthepointCwithpositionvectori+5j+11K.Theequationofl₁andl₂arer=i+5j+11k+λ（3i+2j-2k)andr=i+5j+11k+μ(8i+11j+6k),whereλandμarerealparameters.a)Find,intheformax+by+cz=d,ane

　　Thelinel₁andl₂intersectatthepointCwithpositionvectori+5j+11K.Theequationofl₁andl₂arer=i+5j+11k+λ（3i+2j-2k)andr=i+5j+11k+μ(8i+11j+6k),whereλandμarerealparameters.

　　a)Find,intheformax+by+cz=d,anequationoftheplanewhichcontainsl₁andl₂.

　　ThepointAhaspositionvector4i-j+5kandthelinethroughAperpendiculartotheplaneandmeetsitatB.Find,

　　b)thelengthofAB

　　c)theperpendiculardistanceofBfroml₁,givingyouranswerscorrectto3significantfigures.