Chapter 3. Finding vector magnitude and direction from vector components (3-2)

Question

yyvr8eQ3/YQMSLAir5QVGzVTwyDiwvsDEXz18S2f3GBC0zG6MqXLHN/eTN++vScwN24iSg==
{"title":"magnitude of the vector A","description":"Correct","type":"correct","color":"#99CCFF","code":"[{\"shape\":\"rect\",\"coords\":\"24,18,47,45\"}]"} {"title":"x component of the vector A","description":"Wrong","type":"incorrect","color":"#ffcc00","code":"[{\"shape\":\"rect\",\"coords\":\"73,22,92,43\"},{\"shape\":\"rect\",\"coords\":\"275,30,299,49\"}]"} {"title":"y component of the vector A","description":"Incorrect","type":"incorrect","color":"#333300","code":"[{\"shape\":\"rect\",\"coords\":\"122,22,147,43\"},{\"shape\":\"rect\",\"coords\":\"277,1,298,29\"}]"} {"title":"angle of the vector A measured from the positive x axis toward the positive y axis","description":"Incorrect","type":"incorrect","color":"#000080","code":"[{\"shape\":\"rect\",\"coords\":\"238,15,262,38\"}]"}

Question

okdmLo+RvY2GVqjxn4xbGByHlFP2bkSahosoGTkuiES9dh2YQ7OoKO+41gP/KjbNFE6jY7kSh9pqm0al
{"title":"magnitude of the vector A","description":"Incorrect","type":"incorrect","color":"#99CCFF","code":"[{\"shape\":\"rect\",\"coords\":\"24,18,47,45\"}]"} {"title":"x component of the vector A","description":"Correct","type":"correct","color":"#ffcc00","code":"[{\"shape\":\"rect\",\"coords\":\"73,22,92,43\"},{\"shape\":\"rect\",\"coords\":\"275,30,299,49\"}]"} {"title":"y component of the vector A","description":"Incorrect","type":"incorrect","color":"#333300","code":"[{\"shape\":\"rect\",\"coords\":\"122,22,147,43\"},{\"shape\":\"rect\",\"coords\":\"277,1,298,29\"}]"} {"title":"angle of the vector A measured from the positive x axis toward the positive y axis","description":"Incorrect","type":"incorrect","color":"#000080","code":"[{\"shape\":\"rect\",\"coords\":\"238,15,262,38\"}]"}

Question

9lOubQ1qsngYCMpEFkoBUyDBgg2q4aPBNnOBEPBS20cpSwZXWVNv30fCQHp48H6l/V+WVouy8vCpNPYI
{"title":"magnitude of the vector A","description":"Incorrect","type":"incorrect","color":"#99CCFF","code":"[{\"shape\":\"rect\",\"coords\":\"24,18,47,45\"}]"} {"title":"x component of the vector A","description":"Incorrect","type":"incorrect","color":"#ffcc00","code":"[{\"shape\":\"rect\",\"coords\":\"73,22,92,43\"},{\"shape\":\"rect\",\"coords\":\"275,30,299,49\"}]"} {"title":"y component of the vector A","description":"Correct!","type":"correct","color":"#333300","code":"[{\"shape\":\"rect\",\"coords\":\"122,22,147,43\"},{\"shape\":\"rect\",\"coords\":\"277,1,298,29\"}]"} {"title":"angle of the vector A measured from the positive x axis toward the positive y axis","description":"Incorrect","type":"incorrect","color":"#000080","code":"[{\"shape\":\"rect\",\"coords\":\"238,15,262,38\"}]"}

Question

hnmaTTyWEJlJrt1i1tPCcVQDkKwhA+KRvDJrOKTiXqqHHhejQvw9m9YwExsGI3iS8zHBz07vQ2m0Sg0jm1hHj/glJLoyNy/eY2EJQcaxp+YKFrSL/iVH2wnuiDcNXMaOrGzGkz8/PMs9QEWr0RD8SXPLbxlN4/QZ
{"title":"magnitude of the vector A","description":"Incorrect","type":"incorrect","color":"#99CCFF","code":"[{\"shape\":\"rect\",\"coords\":\"24,18,47,45\"}]"} {"title":"x component of the vector A","description":"Incorrect","type":"incorrect","color":"#ffcc00","code":"[{\"shape\":\"rect\",\"coords\":\"73,22,92,43\"},{\"shape\":\"rect\",\"coords\":\"275,30,299,49\"}]"} {"title":"y component of the vector A","description":"Incorrect","type":"incorrect","color":"#333300","code":"[{\"shape\":\"rect\",\"coords\":\"122,22,147,43\"},{\"shape\":\"rect\",\"coords\":\"277,1,298,29\"}]"} {"title":"angle of the vector A measured from the positive x axis toward the positive y axis","description":"Correct!","type":"correct","color":"#000080","code":"[{\"shape\":\"rect\",\"coords\":\"238,15,262,38\"}]"}

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 \(A_y\).