For parts ( a ) − ( c ) , let u = 〈 2 , 4 , − 1 〉 and v = 〈 4 , − 2 , 1 〉 .
( a ) Find a unit vector which is orthogonal to both u and v .
( b ) Find the vector projection of u onto v .
( c ) Find the scalar projection of u onto v .
For parts ( a ) − ( c ) , let u = 〈 2 , 4 , − 1 〉 and v = 〈 4 , − 2 , 1 〉 .
( a ) Find a unit vector which is orthogonal to both u and v .
( b ) Find the vector projection of u onto v .
( c ) Find the scalar projection of u onto v .
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