Given that (a = i – 3j) and (b = -2i + 5j) and (c = 3i – j), calculate (|a – b + c|).
-
A.
(sqrt{13}) -
B.
(3sqrt{13}) -
C.
(6sqrt{13}) -
D.
(9sqrt{13})
Correct Answer: Option B
Explanation
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} = 3sqrt{13})