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 °
Showing posts with label vector. Show all posts
Showing posts with label vector. Show all posts
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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