# Write the vector v in the form ai + bj, given its magnitude ∥v∥∥v∥ and the angle alpha it makes with the positive x-axis. ∥v∥=8,alpha=45*∥v∥=8,alpha=45

Write the vector v in the form ai + bj, given its magnitude ∥v∥∥v∥ and the angle $\alpha$ it makes with the positive x-axis. $\parallel v\parallel =8,\alpha =45\ast \parallel v\parallel =8,\alpha =45$

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Lacey-May Snyder

||v||=8 & $a+{45}^{\circ }=>a=8\mathrm{cos}{45}^{\circ }=8\ast \sqrt{2/2}$
$=4\sqrt{2}$ &
$b=8\mathrm{sin}{45}^{\circ }=8\ast \sqrt{2}/2=4\sqrt{2}=>$
$v=4\sqrt{2i}+4\sqrt{2j}$