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Find the vector alpha which is perpendi...

Find the vector `alpha` which is perpendicular to both ` 4 hat (i) + 5 hat (j) - hat (k) ` and ` hat (i) - 4 hat (j) + 5 hat (k) ` and which satisfies the relation ` alpha . beta = 21` where ` beta = 3 hat (i)+ 5 hat (j) - hat (k) `

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