Step-by-step explanation:
this is the answer in the picture
The angle θ between u = 〈6, –5〉 and v = 〈11, 8〉 will be 75.83°. Option B is correct.
A vector is a quantity with a magnitude, and direction that follows the law of vector addition.
Given data;
u = 〈6, –5〉
v=〈11, 8〉
The angle between the vector is found by the formula as;
[tex]\rm cos \theta = \frac{u,v}{|u||v|} \\\\ cos \theta = \frac{(6 \times 11) + (-5 \times 8)}{\sqrt{6^2+(-5^2)+\sqrt{11^2+8^2}}} \\\\ cos \theta = \frac{66+40}{\sqrt{61}\times\sqrt{185}} \\\\\ \theta = cos^{-1}(0.244)\\\\ \theta = 75.83^0[/tex]
Hence, option B is correct.
To learn more about vectors, see
https://brainly.com/question/13322477
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