Question

Determine whether the following vectors are mutually orthogonal. \(u_1 = (1, -4, 1), u_2 = (0, 1, 4), u_3 = (-17, -4, 1)\) Is the set of vectors orthogonal? A. The vectors are not mutually orthogonal because \(u_2\) is not orthogonal to \(u_3\). B. The vectors are not mutually orthogonal because \(u_1\) is not orthogonal to \(u_3\). C. The vectors are mutually orthogonal because the vectors are linearly independent. D. The vectors are not mutually orthogonal because \(u_1\) is not orthogonal to \(u_2\). E. The vectors are mutually orthogonal because each pair of distinct vectors is orthogonal. F. The set of vectors is orthogonal because \(u_1\) is orthogonal to \(u_2\) and \(u_2\) is orthogonal to \(u_3\).

          Determine whether the following vectors are mutually orthogonal.
\(u_1 = (1, -4, 1), u_2 = (0, 1, 4), u_3 = (-17, -4, 1)\)
Is the set of vectors orthogonal?
A. The vectors are not mutually orthogonal because \(u_2\) is not orthogonal to \(u_3\).
B. The vectors are not mutually orthogonal because \(u_1\) is not orthogonal to \(u_3\).
C. The vectors are mutually orthogonal because the vectors are linearly independent.
D. The vectors are not mutually orthogonal because \(u_1\) is not orthogonal to \(u_2\).
E. The vectors are mutually orthogonal because each pair of distinct vectors is orthogonal.
F. The set of vectors is orthogonal because \(u_1\) is orthogonal to \(u_2\) and \(u_2\) is orthogonal to \(u_3\).

Determine whether the following vectors are mutually orthogonal.
u1 = (1, -4, 1), u2 = (0, 1, 4), u3 = (-17, -4, 1)
Is the set of vectors orthogonal?
A. The vectors are not mutually orthogonal because u2 is not orthogonal to u3.
B. The vectors are not mutually orthogonal because u1 is not orthogonal to u3.
C. The vectors are mutually orthogonal because the vectors are linearly independent.
D. The vectors are not mutually orthogonal because u1 is not orthogonal to u2.
E. The vectors are mutually orthogonal because each pair of distinct vectors is orthogonal.
F. The set of vectors is orthogonal because u1 is orthogonal to u2 and u2 is orthogonal to u3.

Added by Jordi C.

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