In an octagon A B C D E F G H of equal side, what is the sum of A B → + A C → + A D → + A E → + A F → + A G → + A H → , if, AO → = 2 i ^ + 3 j ^ - 4 k ^

Step-by-step solution

We know, ∵     OA → + OB → + OC → + OD → + OE → + OF → + OG → + OH → = 0 → By triangle law of vector addition, we can write AB → = AO → + OB → ; AC → = AO → + OC → AD → = AO → + OD → ; AE → = AO → + OE → AF → = AO → + OF →    ; AG → = AO → + OG → AH → = AO → + OH → Now AB → + AC → + AD → + AE &#