Question

If the vector u⃗ has magnitude 2 and direction 320∘ (relative to the positive x-axis), what is the component form ⟨x,y⟩ of the vector? Round your answer to the nearest hundredth.Select the correct answer below:⟨1.16,−1.29⟩⟨1.53,−1.29⟩⟨1.16,−0.85⟩⟨1.53,−0.85⟩

Answer 1

Answer:

Rewriting the vector in component form will give;

$(1.53,-1.29)$

Explanation:

Given the vector u, with magnitude 2 and direction 320 degree.

Rewriting it in component form (x,y) will give;

$\begin{gathered} (x,y)=(2\cos 320,2\sin 320) \\ (x,y)=(1.53,-1.29) \end{gathered}$

Therefore, Rewriting the vector in component form will give;

$(1.53,-1.29)$