2021 Winter Math 10CExam 1(You must show your work)Name:Section:1. [20pts] Consider three pointsP(113)Q(2−35)R(−321).(a) [15pts] Find a unit vector orthogonal to the plane containingPQRwhose-coordinateis positive.(b) [5pts] Find an area of the triangle with verticesPQandR.2. [10pts] Determine if the vectorsu=012v=123andw=234are co-planar.(Youmust show this algebraically. Do not use a graph.)3. [10pts] Determine if the linesL1andL2are parallel, skew or intersecting. If intersect, find theintersection.(You must show this algebraically. Do not use a graph.)(a) [5pts]L1:u1+v1andL2:u2+v2whereu1= (123)v1= (−212)u2= (37−5)andv2= (−3323).(b) [5pts]L1:2=−23=+24andL2:−+15=+12=2−54.4. [10pts] Determine if two vectors are orthogonal, parallel or neither.