Question

For parts ( a ) − ( c ) , let u = 〈 2 ,...

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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