Question

A person walked 30.0 m east and then 100.0 m north. Add these two vectors to get the magnitude of the vector sum of the two movements.

Answer 1

Answer:

D = 104.4 m

Explanation:

We are given two displacement vectors. One in north direction other in east direction. We know that north and east directions are perpendicular to each other. Hence, the displacements vectors are also perpendicular to each other. Therefore, there resultant can be found by using Pythagora's Theorem like rectangular components method.

D = √(Dₓ² + Dy²)

where,

D = Magnitude of vector sum of both displacements = ?

Dₓ = Magnitude of Displacement Vector in east direction = 30 m

Dy = Magnitude of Displacement Vector in North Direction = 100 m

Therefore,

D = √[(30 m)² + (100 m)²]

D = 104.4 m