Question

a body moves 4m due west and then 3m due south. what is its displacement

Answer 1

This is a question on resultant vector.

The vectors are perpendicular to each other.

They form a right angled triangle.. That is the path forms a right angled triangle.

The base of this triangle is 4m and the height is 3m.

The resultant vector for perpendicular vectors is the hypotenuse of the right angled triangle.

We use pythogras theorem to find the hypotenuse.

Let the hypotenuse be c, the base be b and the height be a then:

a² + b² = c²

4² + 3² = 25

c² = 25

c = √25

c = 5

The resultant displacement vector is thus :

5m

Answer 2

Answer:

1

Explanation: