1. Magnitude:
Formula:
2. Direction Angle:
Formula:
Graph the vector:
Find the direction angle:![\f[\tan \theta =\frac{3}{3} = 1\f]](https://edge.apus.edu/cgi-bin/latex.cgi?%5Ctan%20%5Ctheta%20%3D%5Cfrac%7B3%7D%7B3%7D%20%3D%201 "\f[\tan \theta =\frac{3}{3} = 1\f]")
![\f[\tan^{-1} (1) = 45\deg \f]](https://edge.apus.edu/cgi-bin/latex.cgi?%5Ctan%5E%7B-1%7D%20%281%29%20%3D%2045%5Cdeg%20 "\f[\tan^{-1} (1) = 45\deg \f]")
Final results:
Final results:
Magnitude 3√2
Direction angle 45 °
Thursday, October 27, 2011
Find the magnitude and the direction angle
Find the magnitude and the direction angle (to the nearest tenth) for the vector
![\f[\left<3, 3 \right>\f]](https://edge.apus.edu/cgi-bin/latex.cgi?%5Cleft%3C3%2C%203%20%5Cright%3E "\f[\left<3, 3 \right>\f]")
1. Magnitude:
Formula:![\f[\left|\left|v \right| \right|=\sqrt{x^{2}+y^{2}}\f]](https://edge.apus.edu/cgi-bin/latex.cgi?%5Cleft%7C%5Cleft%7Cv%20%5Cright%7C%20%5Cright%7C%3D%5Csqrt%7Bx%5E%7B2%7D%26plus%3By%5E%7B2%7D%7D "\f[\left|\left|v \right| \right|=\sqrt{x^{2}+y^{2}}\f]")
![\f[\left|\left|3, 3 \right| \right| = \sqrt{3^{2}+3^{2}} = \sqrt{9+9}=\sqrt{18}= 3\sqrt{2}\f]](https://edge.apus.edu/cgi-bin/latex.cgi?%5Cleft%7C%5Cleft%7C3%2C%203%20%5Cright%7C%20%5Cright%7C%20%3D%20%5Csqrt%7B3%5E%7B2%7D%26plus%3B3%5E%7B2%7D%7D%20%3D%20%5Csqrt%7B9%26plus%3B9%7D%3D%5Csqrt%7B18%7D%3D%203%5Csqrt%7B2%7D "\f[\left|\left|3, 3 \right| \right| = \sqrt{3^{2}+3^{2}} = \sqrt{9+9}=\sqrt{18}= 3\sqrt{2}\f]")
2. Direction Angle:
Formula:![\f[\theta = \tan^{-1} \frac{y}{x}\f]](https://edge.apus.edu/cgi-bin/latex.cgi?%5Ctheta%20%3D%20%5Ctan%5E%7B-1%7D%20%5Cfrac%7By%7D%7Bx%7D "\f[\theta = \tan^{-1} \frac{y}{x}\f]")
Graph the vector:
1. Magnitude:
Formula:
2. Direction Angle:
Formula:
Graph the vector:
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