[MTH 234] - Midterm Exam Guide - Everything you need to know! (14 pages long)
Document Summary
Center ( d= ( h ,k , d: midpoint formula. Length of vector: adding vectors ( "t +y"it+zit ) , +4 , vztvz , a }+vd: dot product ( hard version. Equidistant , use ( 0,0 ,o ) and ftp. t. Y and z points are graphed normally must go oppisile direction for x coordinates. Feeney to find distance find equation of sphere from ( 3,3 , H ytcy - kit ( z form find center and radius of sphere from ( -372+4+312 kz - 812-4=0. Put in r ?_ ( x complete square xthox v of sphere from. +42+6 +9+2=2+122-+36 dihindeaidahaf. dk?eaiunahay add numbers (+9+36,1-9) here p new zt. 3 r= if=l ( y +314 ( z +614 ( i ) Adding / subtracting manipulating vectors use formula. Vector a with specified length in the direction. It 1=551 plug into formula for each point lal # , Aif length is in opposite direction reverse the signs of coordinates find horizontal.
