A person jogs 780 meters south and then 360 meters west. What is the direction of the person’s resultant vector?

Answer:

[64.26] degrees west of south

Or, 

[154.26] degrees from the starting position. 

Note:

Vector diagram is just an hint in this question. We can solve the question without vector diagram as well. 

Step-by-step explanation:

To find the direction of the person's resultant vector, we can use trigonometry. 

The person initially jogs 780 meters south and then 360 meters west.

We can consider the southward jog as the negative y-direction and the westward jog as the negative x-direction. This forms a right triangle with the hypotenuse representing the resultant vector.

Using the Pythagorean theorem, we can find the magnitude of the resultant vector: 

Resultant magnitude = √(780^2 + 360^2) ≈ 849.66 meters

To find the direction, we can use the inverse tangent function:

 Direction = tan^(-1)(opposite/adjacent) Direction 

= tan^(-1)(780/360) Direction 

≈ 64.26 degrees west of south

Therefore, the direction of the person's resultant vector is approximately [64.26] degrees west of south.