SA3 In Derive the furmulu to determine the ample between vectors using the Law of Cosnes. Vecter Set Up veeven X NtXiu Parallelogram Law. setting. X.= UL-D) vector algebra: Trig Derivation L of Cosnes Trig 1 ) u-ull se HMS11UH Wu-VI = Hull + null - alluillives cost 50 Hull In notes Cus 9= Uiv[27 write any vector in components w,, wa based on any other vector . u w2 5: want V we w, two. where w, & W. are cirthisoned components based on another. vector V. To find w , , we need the projection of 2 onto V, projo = w, . le = w , + w 2 u = cv + w 2 Need to solve for. d. MOV = ( CV + W. ).V. O Dot product. VIV = llVIL WECVS/ u.V) . Then wa = U- W, = U - 12. 4 Thus M= With = projil + ( 2 - proj, y ) M = WITW , = (1VIP ) V + ( U - line ) v )