Question

a man travels 10m due 30degrees north of east ,then 5m due north and then 5√2m due north east.find his total displacement in vector form​

Answer 1

Here 10 m north means +y axis10j and 7m east means +x axis so 7i

displacement will be shortest path so 10 m and 7 m forms a right angle triangle whose hypotenuse is displacement

displacement=(10)2+(7)2=100+49=149≈12.2m

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Answer 2

Answer:

We have,

Towards North= 24m

Towards East = 10m

Using Pythagoras Theorem,

(Hypotenuse)² = (base)² + (height)²

= (10)² + (24)²

= 100 + 576

= 676

= (26)²

Starting point = √(Hypotenuse)²

=√(26)² =

= 26m

Hence, this is answer.