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Correct answer is C
No explanation has been provided for this answer.
\(\frac{\sqrt{2}}{5}\)
\(5\sqrt{2}\)
\(2\sqrt{5}\)
\(\frac{5\sqrt{2}}{2}\)
Correct answer is A
\(F = F_{1} + F_{2}\)
\((2i - 5j) + (-3i + 4j) = (-i - j)\)
\(F = ma \implies (-1, -1) = 5a\)
\(a = (-\frac{1}{5}, -\frac{1}{5})\)
\(|a| = \sqrt{(\frac{-1}{5})^2 + (\frac{-1}{5})^2} = \sqrt{2}{25}\)
\(|a| = \frac{\sqrt{2}}{5} ms^{-2}\)
\(\frac{1}{24}\)
\(\frac{1}{6}\)
\(\frac{2}{13}\)
\(\frac{1}{4}\)
Correct answer is A
The number of arrangements for the 4 letters = \(^{4}P_{4} = \frac{4!}{(4 - 4)!}\)
\(4! = 24\)
Alphabetical order is just 1 of the arrangements for the letters
= \(\frac{1}{24}\)
N33,000
N30,000
N17,000
N16,000
Correct answer is A
No explanation has been provided for this answer.
Find the direction cosines of the vector \(4i - 3j\).
\(\frac{9}{10}, \frac{27}{10}\)
\(\frac{17}{27}, -\frac{17}{27}\)
\(\frac{4}{5}, -\frac{3}{5}\)
\(\frac{4}{7}, \frac{-3}{7}\)
Correct answer is C
Given \(V = xi +yj\), the direction cosines are \(\frac{x}{|V|}, \frac{y}{|V|}\).
\(|4i - 3j| = \sqrt{4^{2} + (-3)^{2}} = \sqrt{25} = 5\)
Direction cosines = \(\frac{4}{5}, \frac{-3}{5}\).