Question

Two friends A and B start walking from a common point.A goes 20 kms towards north-east ,whereas B goes 15 kms towards east and then 12 kms towards north.How far are A and B from each other.

Answer 1

in photo use just vector

Answer 2

Both A and B are at the same point.

Given:

Distance covered by A is 20 km towards North-East

B goes 15 km towards east and then 12 km towards north

To find:

The distance between A and B

Solution:

From the given data, can see that distance covered by A = the displacement of B from the starting point.

Distance covered by A is 20 km towards North-East,  

i.e. in a diagonal line A travels for 20 km.

This is nothing, but displacement of A.

And as for B, B goes 15 km towards east and then 12 km towards north.

I.e. B goes 15kms in straight line towards right side and then turns 900 towards north and goes 12 km

Hence, the displacement for B will be 20km along the North East Direction = Distance travelled by A = Displacement for A from starting point.

Hence, the both finish at the same point.