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Find unit
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Answer to Problem 51RE
The unit vector orthogonal to both u and v is
Explanation of Solution
Given:
The following vectors u and v
Considerthevectorsinspace
Considerthefollowingvectorsuandv
Rewriteabovevectorsuandvincomponentformas
Firstofall,calculate
Hence,
Toshowthatu✕visorthogonaltobothuandvfindthedotproductofu✕vwithuandvseparatelyandiftheywillbeequaltozeroitmeansthattheyareorthogonal.
Therefore,
Now,
Thereforethedotproductofbothuandvwithu✕vis0andhenceu✕visorthogonaltobothuandv.
Nowcomputenormofu✕vthatis
Therefore,theunitvectororthogonaltobothuandvis
Chapter 11 Solutions
Precalculus with Limits
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- the correct answer is C could you please explainarrow_forwardWhich of the functions shown below is differentiable at z = 2? Select the correct answer below: о -7-6-5-4-3-2- −7 −6 −5 −4 −3-2 1 2 4 5 6 -7-6-5-4-3-2- -7-6-5-4-3 2 45arrow_forwardQuestion Given the graph of f(z) below, find the graph of the derivative of f(z). Select the correct answer below: ° ° 129 -7-6-5-4-3-2 -7-6-5-4-3-2-1123456 ° ° °arrow_forward
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