let N⃗(0,1)−unit vector north\text {let }\vec{N}(0,1)- \text{unit vector north}let N(0,1)−unit vector north
let E⃗(1,0)−unit vector east\text {let }\vec{E}(1,0)- \text{unit vector east}let E(1,0)−unit vector east
N⃗⊥E⃗\vec N\perp \vec EN⊥E
Am aircraft flies 800km due east and then 600km due north.\text{Am aircraft flies 800km due east and then 600km due north.}Am aircraft flies 800km due east and then 600km due north.
D⃗=800∗E⃗+600∗N⃗\vec D= 800*\vec E+600*\vec ND=800∗E+600∗N
D⃗=(800,0)+(0,600)=(800,600)\vec D= (800,0)+(0,600)=(800,600)D=(800,0)+(0,600)=(800,600)
∣D⃗∣=6002+8002=1000km|\vec D|=\sqrt{600^2+800^2}=1000km∣D∣=6002+8002=1000km
Answer:1000km\text{Answer:}1000kmAnswer:1000km
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