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  • 19-03-2018
  • Mathematics
contestada

What is the projection of (2,5) onto (1,3)?

Respuesta :

Mindaka
Mindaka Mindaka
  • 29-03-2018
First, you have to calculate the dot product of a (2, 5) and b(1, 3)
a · b = (2, 5) · (1, 3) = 2×1 + 5×3 = 17

Then, you have to calculate the magnitude of b 
|b| = √(1² + 3²) = √10

The scalar projection will be:
sp = (a · b) / |b| = 17/√10 = (17√10)/10

The vector projection will be:
vp = [(a · b) / |b|² ] b = 17/10 (1, 3) = (17/10, 51/10)
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jrgomie188 jrgomie188
  • 21-08-2018
1.7(1,3) APEX ANSWER
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