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The scalar projection of y on a is the length that y points in space spanned by a. It can be computed as a =

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The scalar projection of y on a is the length that y points in space spanned by a. It can be computed as a = x . y In order to actually project y onto the space spanned by 2, you can multiply the scalar projection times a normalised version of a to find the vector projection of y on a: x . y p = a - C. ac x . x Lety = [$ ] and x = [3]. Find the scalar projection of y on a. Number Find the vector projection of y on a. Enter each coordinate of the vector in order. Number Number Draw a picture of all four vectors and verify that p and y - p are orthogonal to one another. The fact that y - p is perpendicular to p implies that y - p is the smallest distance from y to a. Now let u = OT CO CO and v = 2 Find the scalar projection of u on v. Number Find the vector projection of u on v. Number Number Number

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