Find the angle between i + 5j and 5i - J
...Find the angle between i + 5j and 5i - J
0\(^o\)
45\(^o\)
60\(^o\)
90\(^o\)
Correct answer is D
a = i + 5j and b = 5i - j
cos\(\theta\) = \(\frac{a.b}{|a|.|b|}\)
= \(\frac{(1 \times 5) + (5x - 1)}{(\sqrt{1^2 + 5^2}) (5^2 + (-1))^2}\)
= \(\frac{5 - 5}{\sqrt{26}\times \sqrt{26}}\) = 0
x = cos\(^{-1}\)(0), x = 90\(^o\)
Find the coefficient of \(x^{4}\) in the binomial expansion of \((2 + x)^{6}\)...
The inverse of a function is given by \(f^{-1} : x \to \frac{x + 1}{4}\)....
Given that \(\frac{2x}{(x + 6)(x + 3)} = \frac{P}{x + 6} + \frac{Q}{x + 3}\), find P and Q....
If \(f(x) = \frac{1}{2 - x}, x \neq 2\), find \(f^{-1}(-\frac{1}{2})\)....
Find the inverse of \(\begin{pmatrix} 4 & 2 \\ -3 & -2 \end{p...
Find the upper quartile of the following scores: 41, 29, 17, 2, 12, 33, 45, 18, 43 and 5. ...