The value of expression is, [tex]|r-s|=\sqrt{284.5}=16.86[/tex]
Sum of vectors :
If two vector r and s are present. Then magnitude of resultant of these two vectors are calculated by cosine formula.
[tex]|r-s|^{2}=r^{2} +s^{2} +2|r||s|cos\theta[/tex]
Where [tex]\theta[/tex] is angle between both vectors.
A diagram is attached below.
[tex]|r-s|^{2}=6^{2} +11^{2} +2*6*11*cos15\\\\|r-s|^{2}=36+121+127.5\\\\|r-s|^{2}=284.5\\\\|r-s|=\sqrt{284.5}=16.86[/tex]
Learn more about the resultant vectors here:
https://brainly.com/question/110151
