anonymous
  • anonymous
Determine whether the vectors u and v are parallel, orthogonal, or neither. u = <6, -2>, v = <8, 24>
Mathematics
  • Stacey Warren - Expert brainly.com
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schrodinger
  • schrodinger
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jim_thompson5910
  • jim_thompson5910
Let u = v = the dot product of u and v is u dot v = a*c + b*d if the dot product of u and v is 0, then u is orthogonal (ie perpendicular) to v.
anonymous
  • anonymous
it is orthogonal, correct?
jim_thompson5910
  • jim_thompson5910
u is parallel to v if and only if u = k*v for some scalar k u = k*v = k* = a = k*c and b = k*d k = a/c and k = b/d a/c = b/d All that work above shows that IF a/c = b/d, then u and v are parallel. They either point in the same direction, or they point in complete opposite directions.

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jim_thompson5910
  • jim_thompson5910
`it is orthogonal, correct?` yes that is correct u dot v = a*c + b*d u dot v = 6*8 + (-2)*24 u dot v = 48 + (-48) u dot v = 0 so they are indeed orthogonal
anonymous
  • anonymous
thank you!!!
jim_thompson5910
  • jim_thompson5910
sure thing

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