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CollyndCleosterris
CollyndCleosterris CollyndCleosterris
  • 08-08-2016
  • Mathematics
Answered

Determine whether the vectors u and v are parallel, orthogonal, or neither.


u = <10, 6>, v = <9, 5>

Orthogonal

Parallel

Neither

Verified Answer :

Hussain514 Hussain514
  • 12-08-2016

The dot product here is 10(9) + 6(5)=120
so the vectors are not orthogonal 
u.v = |u| x |v| cos (theta) ; theta is the angle between them 

we know from above that u.v = 120 

|u| = sqrt[10^2+6^2]=11.66
|v| = sqrt[9^2+5^2]=10.29

so we know: 

theta =cos^-1 120/(11.66x10.29)
so theta = 25 degrees

Answer Link
jeffreyhsu2009
jeffreyhsu2009 jeffreyhsu2009
  • 16-12-2018

The answer is Parallel

Answer Link

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