8. Vectors

Find the direction of the following vector: $u ⃗=⟨-10,10⟩$.

Find the direction of the following vector: $u⃗=\langle\frac{5\surd3}{3},5\rangle$.

If a vector has magnitude $|v ⃗ |=13$ and direction $θ=157.38°$, find the vector’s horizontal and vertical components.

If a vector has magnitude $|v ⃗ |=5$ and direction $\theta=\frac{7\pi}{4}$, find the vector’s horizontal and vertical components.

Find the magnitude ||v||, to the nearest hundredth, and the direction angle θ, to the nearest tenth of a degree, for each given vector v.

v = 2i - 8j

Find the magnitude ||v||, to the nearest hundredth, and the direction angle θ, to the nearest tenth of a degree, for each given vector v.

v = (7i - 3j) - (10i - 3j)

Find the magnitude and direction angle for each vector. Round angle measures to the nearest tenth, as necessary.

〈-4, -7〉

Find the magnitude and direction angle for each vector. Round angle measures to the nearest tenth, as necessary. See Example 1.

〈-7, 24〉

Find the magnitude and direction angle for each vector. Round angle measures to the nearest tenth, as necessary. See Example 1.

〈8√2, -8√2〉