irov111 irov111

24-01-2017
Mathematics

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find two unit vectors that make an angle of 60 degrees with v<4,3>?

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Champagnemami16 Champagnemami16

24-01-2017

, 52=±31−u22−−−−−√+4u2 36(1−u22)=25−80u2+64u22 100u22−80u2−11=0 u2=4±33√10≈−0.120or0.920 ∴u1≈−0.393or0.993 i.e. the solutions are⟨−0.393,0.920⟩ and ⟨0.993,−0.120⟩

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