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Gloria
Mathematics
5 January, 07:46
What is the projection of (2,5) onto (1,3) ?
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Alena
5 January, 08:07
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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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