For the given vector, calculate its magnitude and direction angle. Express your answer to the nearest tenth, if required. 〈 28 3 , − 28 3 〉 〈28\sqrt3,-28\sqrt3〉 〈28 3 <path d="M95,702 c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5,-10,-9.5,-14 c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54 c44.2,-33.3,65.8,-50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10 s173,378,173,378c0.7,0,35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429 c69,-144,104.5,-217.7,106.5,-221 l0 -0 c5.3,-9.3,12,-14,20,-14 H400000v40H845.2724 s-225.272,467,-225.272,467s-235,486,-235,486c-2.7,4.7,-9,7,-19,7 c-6,0,-10,-1,-12,-3s-194,-422,-194,-422s-65,47,-65,47z M834 80h400000v40h-400000z"> , − 28 3 <path d="M95,702 c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5,-10,-9.5,-14 c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54 c44.2,-33.3,65.8,-50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10 s173,378,173,378c0.7,0,35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429 c69,-144,104.5,-217.7,106.5,-221 l0 -0 c5.3,-9.3,12,-14,20,-14 H400000v40H845.2724 s-225.272,467,-225.272,467s-235,486,-235,486c-2.7,4.7,-9,7,-19,7 c-6,0,-10,-1,-12,-3s-194,-422,-194,-422s-65,47,-65,47z M834 80h400000v40h-400000z"> 〉

68.6 and − 45.0 ° 68.6\text{ and }-45.0\degree 68.6 and − 45.0°

45.0 and 68.6 ° 45.0\text{ and }68.6\degree 45.0 and 68.6°

45.0 and − 68.6 ° 45.0\text{ and }-68.6\degree 45.0 and − 68.6°

68.6 and 45.0 ° 68.6\text{ and }45.0\degree 68.6 and 45.0°

Direction of a Vector

8. Vectors / Direction of a Vector / Problem 3

Problem 3

For the given vector, calculate its magnitude and direction angle. Express your answer to the nearest tenth, if required.
$〈28\sqrt3,-28\sqrt3〉$

$45.0\text{ and }68.6\degree$

$45.0\text{ and }-68.6\degree$

$68.6\text{ and }-45.0\degree$

$68.6\text{ and }45.0\degree$