Question

A hiker walks 4.5 km in one direction, then makes a 45-degree turn. What geometric concept is being illustrated?

a) Vector addition
b) Pythagorean theorem
c) Angular momentum
d) Centripetal force

Answer 1

The geometric concept being illustrated is vector addition. This involves adding the magnitudes and directions of the vectors to find the resultant vector.

Step-by-step explanation:

The geometric concept being illustrated here is vector addition. When the hiker walks 4.5 km in one direction and then makes a 45-degree turn, the resulting displacement can be found by adding the two vectors together. The magnitude and direction of the resultant vector will give us the total displacement of the hiker.

In this case, the initial displacement of 4.5 km is one vector, and the displacement resulting from the 45-degree turn is another vector. By adding these two vectors using vector addition, we can find the total displacement of the hiker.

Vector addition involves adding the magnitudes and directions of the vectors to find the resultant vector. In this example, the magnitude of the resultant vector can be determined using the Pythagorean theorem, and the direction can be found using trigonometry.