\(\sqrt{13}\)
\(3\sqrt{13}\)
\(6\sqrt{13}\)
\(9\sqrt{13}\)
Correct answer is B
Given \(a = i - 3j; b = -2i + 5j; c = 3i - j\)
\(a- b + c = (1 - (-2) + 3)i + (-3 - 5 + (-1))j = 6i - 9j\)
\(|a - b + c| = \sqrt{6^{2} + (-9)^{2}} = \sqrt{36 + 81} = \sqrt{117}\)
\(= \sqrt{9 \times 13} = 3\sqrt{13}\)
Four fair coins are tossed once. Calculate the probability of having equal heads and tails. ...
A body is acted upon by forces \(F_{1} = (10 N, 090°)\) and \(F_{2} = (6 N, 180°)\). Find th...
Find the coefficient of \(x^{4}\) in the expansion of \((1-2x)^{6}\)...
If \(f(x) = x^{2}\) and \(g(x) = \sin x\), find g o f....
Find \(\int \frac{x^{3} + 5x + 1}{x^{3}} \mathrm {d} x\)...
Which of the following is the semi- interquartile range of a distribution? ...