Consider the vectors u = (2,0,-1) and v = (5,2,-5). (a) Calculate the scalar projection of...

 

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Consider the vectors u = (2,0,-1) and v = (5,2,-5). (a) Calculate the scalar projection of v in the direction of u. (b) Calculate the vector projection of v in the direction of u. (c) Write v as the sum of a vector parallel to u and a vector perpendicular to u. (d) Write the scaled vector 9v as the sum of a vector parallel to u and a vector perpen- dicular to u. Consider the vectors u = (2,0,-1) and v = (5,2,-5). (a) Calculate the scalar projection of v in the direction of u. (b) Calculate the vector projection of v in the direction of u. (c) Write v as the sum of a vector parallel to u and a vector perpendicular to u. (d) Write the scaled vector 9v as the sum of a vector parallel to u and a vector perpen- dicular to u.