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(b) Find the angle between u and v to the nearest degree.

(b) Find the angle between u and v to the nearest degree.-example-1
(b) Find the angle between u and v to the nearest degree.-example-1
(b) Find the angle between u and v to the nearest degree.-example-2

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Question 1 (b)


u \cdot v=11\\\\|u|=\sqrt{3^(2)+(-1)^(2)}=√(10)\\\\|v|=\sqrt{4^(2)+1^(2)}=√(17)

So,


\cos \theta=(11)/(√(10)√(17))\\\\\theta=\cos^(-1) \left((11)/(√(10)√(17)) \right) \approx \boxed{32^(\circ)}

Question 2 (b)


u \cdot v=22\\\\|u|=\sqrt{5^(2)+2^(2)}=√(29)\\\\|v|=\sqrt{4^(2)+1^(2)}=√(17)

So,


\cos \theta=(22)/(√(29)√(17))\\\\\theta=\cos^(-1) \left((22)/(√(29)√(17)) \right) \approx \boxed{8^(\circ)}

(b) Find the angle between u and v to the nearest degree.-example-1
User Akansh Tayal
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