P and Q are the points (3, 1) and (7, 4) respectively. Fi...
P and Q are the points (3, 1) and (7, 4) respectively. Find the unit vector along PQ.
\(\begin{pmatrix} 4 \\ 3 \end{pmatrix}\)
\(\begin{pmatrix} 0.6 \\ 0.8 \end{pmatrix}\)
\(\begin{pmatrix} 0.8 \\ 0.6 \end{pmatrix}\)
\(\begin{pmatrix} -0.8 \\ 0.6 \end{pmatrix}\)
Correct answer is C
\(PQ = \begin{pmatrix} 7 - 3 \\ 4 - 1 \end{pmatrix}\)
\(= \begin{pmatrix} 4 \\ 3 \end{pmatrix}\)
\(\hat{n} = \frac{\overrightarrow{PQ}}{|PQ|} \)
\(|PQ| = \sqrt{4^{2} + 3^{2}} = \sqrt{25} = 5\)
\(\hat{n} = \frac{1}{5}\begin{pmatrix} 4 \\ 3 \end{pmatrix} = \begin{pmatrix} 0.8 \\ 0.6 \end{pmatrix}\)
Age in years 10 - 14 15 - 19 20 - 24 25 - 29 30 - 34 Frequency 6 8 14 10 12 ...
The table shows the distribution of marks obtained by some students in a test Marks 0-9 10-...
If g : r \(\to\) 5 - 2r, r is a real number, find the image of -3...
If the midpoint of the line joining (1 - k, -4) and (2, k + 1) is (-k, k), find the value of k. ...
Differentiate \(\frac{5x^ 3+x^2}{x}\), x ≠ 0 with respect to x....
Simplify \(\frac{9*3^{n+1} - 3^{n+2}}{3^{n+1} - 3^{n}}\)...
A particle is acted upon by forces F = (10N, 060º), P = (15N, 120º) and Q = (12N, 200º...
From the diagram above, which of the following represents the vector V in component form? ...
Given that \(y = 4 - 9x\) and \(\Delta x = 0.1\), calculate \(\Delta y\)....