Question

What is resultant of displacements 6m north,8m east and 10m north west?

Answer 1

Resolve the diagonal vector in x and y axes, and add them in their respective unit vectors. You will get the resultant.
Hope this helps.

Answer 2

GIVEN :-

A boy move 6 m north 8 m east and 10 m vertically upwards.

TO FIND :-

The resultant displacement from the initial position.

PRE-REQUISITE :-

Displacement is the shortest length between the initial position and the final position.

OR

Displacement is the change in position vector.

SOLUTION :-

If a body moves 6 m North, 8 m East and 10 m vertically upwards then its resultant displacement from initial position will be in the form of a cuboid with length 6 m,  breadth 8 m and height 10 m.

And the resultant displacement would be the diagonal of this cuboid.

So, the diagonal of a cuboid :-

√(6²+8²+10²)

= √200

= √(100 × 2)

= 10√2

∴ So, the displacement of the boy from his initial position is 10√2 units.