Find unit
Answer to Problem 52RE
The unit vector orthogonal to both u and v is
Explanation of Solution
Given:
The following vectors u and v
Consider the vectors in space
Twovectors
Themagnitudeofthevectorais:
Therefore,unitvectororthogonaltoboth
Considerthefollowingvectorsuandv
Rewriteabovevectorsincomponentformas
Firstofall,calculate
Hence,thecrossproductoftwovectorsuandvincomponentformis
Toshowthat
Therefore,
Now,
Thereforethedotproductofbothuandvwith
Nowcomputenormof
Therefore,theunitvectororthogonaltobothuandvis
Hence,theunitvectororthogonaltobothuandvis
Chapter 11 Solutions
EBK PRECALCULUS W/LIMITS
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