## anonymous one year ago Fine the resultant(magnitude and direction from 0degrees) of the following vectors: 2km at 46degrees at 131degrees, 5.9km at 194degress?

1. anonymous

a vector has magnitude or (a value) and it also has a direction so if i say 20 km north i have just stated a vector quantity. |dw:1444487770916:dw| now just draw this out. using a ruler and protractor to measure the angles. and you will get the first two vectors of the question. you must also convert 20km to 20cm when drawing to make it easier. Now you should be able to get 5.9 at 194degress.

2. Michele_Laino

from the picture above, the angle between two vectors is $$95$$ degrees, so if we apply the theorem of Carnot, we can write this: ${x^2} = {2^2} + {20^2} - 2 \cdot 20 \cdot 2 \cdot \cos \left( {95} \right)$ |dw:1444488993105:dw|

3. Michele_Laino

where $$x$$ is the magnitude of the requested vector

4. anonymous

Thanks Zikisista, and Michele_Laino