Provide an appropriate response.Show that A = au + bv is orthogonal to B = bu - av, where u and v are orthogonal unit vectors.
What will be an ideal response?
A?B = (au + bv)?(bu - av) = abu?u - a2u?v + b2u?v - abv?v = ab - ab = 0
Since the dot product is zero and since neither A nor B is identically zero, A and B are orthogonal.
Mathematics
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A. 
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Find a polynomial of degree 3 with real coefficients that satisfies the given conditions.Zeros of -4 and 1 - i, P(0) = 8
A. P(x) = x3 + 
x2 - 2x + 4
B. P(x) = x3 + 2x2 - 6x
C. P(x) = x3 + 2x2 + 6x + 8
D. P(x) = x3 + 2x2 - 6x + 8
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Evaluate the determinant.
A. -305 B. 605 C. -95 D. 95
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Evaluate the determinant.
A. 11 B. 71 C. -41 D. 41
Mathematics