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Determine the Projection of b = (2, 1, -1) onto a = (1, 0, -2)
There is a requirement of a dot product and the magnitude of a.
a→ • b→ = 4 ||a→||2 = 5
the projection is then,
Proja? b→ = a→• b→ / (||a→||2) (a→)
= 4/5 (1, 0, -2)
= (4/5,0,- 8/5)
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If α,β are the zeros of the polynomial 2x 2 - 4x + 5 find the value of a) α 2 + β 2 b) (α - β) 2 . Ans : p (x) = 2 x 2 - 4 x + 5 (Ans: a) -1 , b) -6) α + β =
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