Finding vector components from vector magnitude and direction (3-1)

Question 1 of 4

Question

$x$ component of the vector $\boldsymbol{\vec{A}}$

{"title":"x component of the vector A","description":"Correct!","type":"correct","color":"#99CCFF","code":"[{\"shape\":\"rect\",\"coords\":\"33,0,53,21\"}]"} {"title":"magnitude of the A vector","description":"Wrong","type":"incorrect","color":"#ffcc00","code":"[{\"shape\":\"rect\",\"coords\":\"71,54,71,65\"},{\"shape\":\"rect\",\"coords\":\"69,0,94,21\"},{\"shape\":\"rect\",\"coords\":\"236,1,251,20\"}]"} {"title":"y component of the vector A","description":"Incorrect","type":"incorrect","color":"#333300","code":"[{\"shape\":\"rect\",\"coords\":\"189,2,216,23\"}]"} {"title":"angle of the vector A when measured from the positive x axis","description":"Incorrect","type":"incorrect","color":"#000080","code":"[{\"shape\":\"rect\",\"coords\":\"277,2,300,23\"},{\"shape\":\"rect\",\"coords\":\"122,1,145,22\"}]"}

Question

Angle of the vector $\boldsymbol{\vec{A}}$ measured from the positive $x$ axis toward the positive $y$ axis

{"title":"x component of the vector A","description":"Incorrect","type":"incorrect","color":"#99CCFF","code":"[{\"shape\":\"rect\",\"coords\":\"33,0,53,21\"}]"} {"title":"magnitude of the A vector","description":"Incorrect","type":"incorrect","color":"#ffcc00","code":"[{\"shape\":\"rect\",\"coords\":\"71,54,71,65\"},{\"shape\":\"rect\",\"coords\":\"69,0,94,21\"},{\"shape\":\"rect\",\"coords\":\"236,1,251,20\"}]"} {"title":"y component of the vector A","description":"Incorrect","type":"incorrect","color":"#333300","code":"[{\"shape\":\"rect\",\"coords\":\"189,2,216,23\"}]"} {"title":"angle of the vector A when measured from the positive x axis","description":"Correct!","type":"correct","color":"#000080","code":"[{\"shape\":\"rect\",\"coords\":\"277,2,300,23\"},{\"shape\":\"rect\",\"coords\":\"122,1,145,22\"}]"}

Question

$y$ component of the vector $\boldsymbol{\vec{A}}$

{"title":"x component of the vector A","description":"Incorrect","type":"incorrect","color":"#99CCFF","code":"[{\"shape\":\"rect\",\"coords\":\"33,0,53,21\"}]"} {"title":"magnitude of the A vector","description":"Incorrect","type":"incorrect","color":"#ffcc00","code":"[{\"shape\":\"rect\",\"coords\":\"71,54,71,65\"},{\"shape\":\"rect\",\"coords\":\"69,0,94,21\"},{\"shape\":\"rect\",\"coords\":\"236,1,251,20\"}]"} {"title":"y component of the vector A","description":"Correct!","type":"correct","color":"#333300","code":"[{\"shape\":\"rect\",\"coords\":\"189,2,216,23\"}]"} {"title":"angle of the vector A when measured from the positive x axis","description":"Incorrect","type":"incorrect","color":"#000080","code":"[{\"shape\":\"rect\",\"coords\":\"277,2,300,23\"},{\"shape\":\"rect\",\"coords\":\"122,1,145,22\"}]"}

Question

Magnitude of the vector $\boldsymbol{\vec{A}}$

{"title":"x component of the vector A","description":"Incorrect","type":"incorrect","color":"#99CCFF","code":"[{\"shape\":\"rect\",\"coords\":\"33,0,53,21\"}]"} {"title":"magnitude of the A vector","description":"Correct!","type":"correct","color":"#ffcc00","code":"[{\"shape\":\"rect\",\"coords\":\"71,54,71,65\"},{\"shape\":\"rect\",\"coords\":\"69,0,94,21\"},{\"shape\":\"rect\",\"coords\":\"236,1,251,20\"}]"} {"title":"y component of the vector A","description":"Incorrect","type":"incorrect","color":"#333300","code":"[{\"shape\":\"rect\",\"coords\":\"189,2,216,23\"}]"} {"title":"angle of the vector A when measured from the positive x axis","description":"Incorrect","type":"incorrect","color":"#000080","code":"[{\"shape\":\"rect\",\"coords\":\"277,2,300,23\"},{\"shape\":\"rect\",\"coords\":\"122,1,145,22\"}]"}

Review

Once you have stated the $x$ component and $y$ component of a vector, you have defined the vector completely. So you can describe a vector such as $\vec{A}$ in terms of either (1) its magnitude $A$ and the angle $\theta$ or (2) its components $A_x$ and $A_y$ .