## Question

###### (5) What is the length of the vector (1,1,- 1) in 9 dimensions? Find a unit vector u in the same direction as and unit vector W such that v W = 0. (6) Consider the vectors 81 (1,1,1) ,82 = (0,1,1) , 83 = (0,0,1)_ Determine the vector b = 381 + 4s2 + 583 _ (b) Write b as a matrix-vector multiplication Ax (A is a matrix; & is the column vector with components 31. 12, T3 (c) Compute Av using the dot products of the rows of A with & Consider the following vectors Wt (1,2,3) , W2 (4,5,6) , W3

(5) What is the length of the vector (1,1,- 1) in 9 dimensions? Find a unit vector u in the same direction as and unit vector W such that v W = 0. (6) Consider the vectors 81 (1,1,1) ,82 = (0,1,1) , 83 = (0,0,1)_ Determine the vector b = 381 + 4s2 + 583 _ (b) Write b as a matrix-vector multiplication Ax (A is a matrix; & is the column vector with components 31. 12, T3 (c) Compute Av using the dot products of the rows of A with & Consider the following vectors Wt (1,2,3) , W2 (4,5,6) , W3 (7,8,9). Find linear combination that gives %1W1 + T2W2 + T3W3 (0,0,0) with *1 =1_

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