# 4 vectors of the same magnitude are added; 1 pointing east, 1 west, 1 south, & 1 north. resultant magnitude?

The magnitude of the resultant vector is _____.

a)0

b)1

c)2

d)3

thnx :) im stuck

Relevance
• Anonymous
9 years ago

Vectors is all about direction and your visualisation.......asnwer is (a) 0 becuz going east adn then going west gets you nowhere and same for going north adn south........if vectors were not of equal magnitude asner would be different but since they are equal net asnwer is zero

• Anonymous
9 years ago

a) 0

You can think of it like going a certain distance east, the same distance west, the same distance north, and the same distance south. You would end up at the same spot you started. You can also think of it as 4 equal forces pulling each other. The east and west forces are the same, so they cancel out, and the north and south forces are the same, so they cancel out as well. You are left with 0 magnitude with no direction.

If you want to prove it mathematically, let's say each of the vectors are unit vectors (magnitude = 1 ). On a coordinate grid, the North vector is (0,1) East: (1,0) South: (0,-1) and West: (-1,0). Adding all the vectors would be ( 0+1+0-1 , 1+0-1+0 ) = (0,0)

A (0,0) vector has 0 magnitude.

• Anonymous
9 years ago