\(\sqrt{13}\)
\(3\sqrt{13}\)
\(6\sqrt{13}\)
\(9\sqrt{13}\)
Correct answer is B
Given \(a = i - 3j; b = -2i + 5j; c = 3i - j\)
\(a- b + c = (1 - (-2) + 3)i + (-3 - 5 + (-1))j = 6i - 9j\)
\(|a - b + c| = \sqrt{6^{2} + (-9)^{2}} = \sqrt{36 + 81} = \sqrt{117}\)
\(= \sqrt{9 \times 13} = 3\sqrt{13}\)