(a) Find a homogeneous linear system of two equations in three unknowns whose solution space consists of those vectors in that are orthogonal to and . (b) What kind of geometric object is the solution space? (c) Find a general solution of the system obtained in part (a), and confirm that Theorem 3.4.3 holds.

Week7BIOB170Notes Unikonta(Supergroup5) • Plantae o Multicellular o Primarilyterrestrial o Sexualreproduction § Antheridia-sperm § Archegonia-egg § Meristems-regionsofrapidcelldivision § Apicalpermitdirectionalgrowth o 1.Bryophyta § Mosses • Diverse • Bryidae(95%) • Sporophyte-phalluslike o Operculumisshotoffansporangiaisnowguardedby peristomalteeth § Teethclosewhenmoist • Gametophyte o Dominantphase o Filamentimmature o Leafyadultstagew/gametangia • Ecologicalimportance o Nutrientcycling,interceptabovegroundnutrients o SinkforatmosphericCO2 o Watercycling,slowsrunoff o Soilstabilization o Lowinessentialnutrients o Extremelyslowtodecompose • Sphagnidae(peatmosses) o Sphagnum-genustoabout200species