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# Solve the following problems:Find the angle between & = [1 - 2 1JT and & = [1 2 _ 7T4 Using the same vectors 6 and & as above, compute proja(v)_ Show us...

## Question

###### Solve the following problems:Find the angle between & = [1 - 2 1JT and & = [1 2 _ 7T4 Using the same vectors 6 and & as above, compute proja(v)_ Show using the definition of projection and the algebraic properties of dot product, that for any two non-Zero vectors & and 6 you have that proja(6)) 6 = 0 This shows that any vector 6 in Rn can be written as the addition of a vector perpen- dicular to a given vector & plus a vector parallel to & (d) Write & = [1 _ 2 4T as t

Solve the following problems: Find the angle between & = [1 - 2 1JT and & = [1 2 _ 7T4 Using the same vectors 6 and & as above, compute proja(v)_ Show using the definition of projection and the algebraic properties of dot product, that for any two non-Zero vectors & and 6 you have that proja(6)) 6 = 0 This shows that any vector 6 in Rn can be written as the addition of a vector perpen- dicular to a given vector & plus a vector parallel to & (d) Write & = [1 _ 2 4T as the addition of two vectors. One of them should be perpendicular to & = [1 2 and the other should be parallel t0 to & = [1 2

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