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In Problems 23–25, use the vectors u=2i-3j+kand v=-i+3j+2k.

Find the direction angles for u.

Short Answer

Expert verified

The direction angles areα≈57.7°,β≈143.3°,γ=74.5°

Step by step solution

01

Step 1. Given information

The given vector isu=2i-3j+k

02

Step 2. Find the direction angles for u.

The direction angles will be

cosα=222+-32+12cosα=214α=cos-1214α≈57.7°

cosβ=-322+-32+12cosβ=-314β=cos-1-314β≈143.3°

cosγ=114γ=cos-1114γ≈74.5°

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