Determine whether the set of vectors is orthonormal. If the set is only orthogonal, normalize the vectors to produce an orthono
rmal set.Bold u 1 equals [Start 3 By 1 Matrix 1st Row 1st Column one third 2nd Row 1st Column one third 3rd Row 1st Column one third EndMatrix ]and Bold u 2 equals [Start 3 By 1 Matrix 1st Row 1st Column negative one half 2nd Row 1st Column 0 Subscript font size decreased by 6 Superscript font size decreased by 6 3rd Row 1st Column one half EndMatrix ]
1 answer:
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Answer:
Error of Andrew: Made incorrect factors from the roots
Step-by-step explanation:
Roots of the polynomial are: 3, 2 + 2i, 2 - 2i. According to the factor theorem, if a is a root of the polynomial P(x), then (x - a) is a factor of P(x). According to this definition:
(x - 3) , (x - (2 + 2i)) , (x - (2 - 2i)) are factors of the required polynomial.
Simplifying the brackets, we get:
(x - 3), (x - 2 - 2i), (x - 2 + 2i) are factors of the required polynomial.
This is the step where Andrew made the error. The factors will always be of the form (x - a) , not (x + a). Andrew wrote the complex factors in form of (x + a) which resulted in the wrong answer.
So, the polynomial would be:
Answer:
x ≈ 61.3
Step-by-step explanation:
Using the Sine rule, that is
=
( cross- multiply )
5.8 × sinx = 6 × sin58° ( divide both sides by 5.8 )
sin x = ≈ 0.87729, thus
x = (0.87729) ≈ 61.3