Question

Given v = 10i - 4j and w=1- ), a. Find projwv. b. Decompose v into two vectors V, and V2, where V, is parallel to wand v2 is orthogonal to w. a. projwv= (Type your answer in terms of i andj.) b. Vo = (Type your answer in terms of i and j.) V2 (Type your answer in terms of i andj.)

Answer 1

a. b. Do use . Solo Given that = 10^-uj & W = Î-Î Proopa [/b] How Dū= (10i-uſ).(-3) . le=ĵoj al f t-J = Jiê=0 V W = 10 XI - 4X1 (* . 10-4 W = 6 11 Pl=512+(-12 =Titl Projet W c52 D. W TW 112 6 li-ŷ (52)2 6(1-3) 2 ♡ . (53) 2 Prosu Proj Proje 그 66-5) 2 (3?-3 Î 2 Ang Hence Progam = 31-39

Solo b b let i = low & r = how v=1th Xota o ūW = now. wt d. w²to la W + 1 w go W.W=0 7 1 2 wa old 2 2. = 3 Vi = 3 3(1-} 37-3 Now V = Vita V2 = √_vi 10-uj - ( 34 – 39) = 102-43-32 +33 în = V2 = Henee Vi=3i- 39 / 8 V2 = 71 - ſ