Find the direction cosines and angles of u and show that cos^2 α + cos^2 β + cos^2 γ = 1. (Round

Question

Find the direction cosines and angles of u and show that $\cos^2 \alpha + \cos^2 \beta + \cos^2 \gamma = 1$. (Round your answers for the angles to four decimal places.) $\mathbf{u} = \mathbf{i} + 4\mathbf{j} + 8\mathbf{k}$ $\cos \alpha = $ $\implies \alpha \approx $ rad $\cos \beta = $ $\implies \beta \approx $ rad $\cos \gamma = $ $\implies \gamma \approx $ rad

          Find the direction cosines and angles of u and show that $\cos^2 \alpha + \cos^2 \beta + \cos^2 \gamma = 1$. (Round your answers for the angles to four decimal places.)
$\mathbf{u} = \mathbf{i} + 4\mathbf{j} + 8\mathbf{k}$
$\cos \alpha = $
$\implies \alpha \approx $
rad
$\cos \beta = $
$\implies \beta \approx $
rad
$\cos \gamma = $
$\implies \gamma \approx $
rad

Find the direction cosines and angles of u and show that cos^2 α + cos^2 β + cos^2 γ = 1. (Round your answers for the angles to four decimal places.)
𝐮 = 𝐢 + 4𝐣 + 8𝐤
cosα =
α≈
rad
cosβ =
β≈
rad
cosγ =
γ≈
rad

Added by Kristen M.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Carson Merrill

07/20/2021

Step 1

Step 1: The direction cosines of a vector are the cosines of the angles that the vector makes with the coordinate axes. Show more…

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Find the direction cosines and angles of u and show that cos² a + cos² ẞ + cos² y = 1. (Round your answers for the angles to four decimal places.) u = i + 4j + 8k cos a = ⇒ α ≈ rad cos β = ⇒ β ≈ rad cos y = ⇒ γ ≈ rad