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Home :: Contents (2267) :: Linear Algebra (26) :: Vector Spaces

Vector Spaces (3 problems)


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Problem #1: Lines and Planes

Solve the following problems

(a) Is the point on the line?

(b) Does the pointlie in the plane?

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Problem #2: Vector Operations

(a) a vector of length 1 which points in the same direction,

(b) a vector of length 5 which lies in the opposite direction:

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Problem #3: Vector Operations

Show that the vectors (1/3, -2/3, -2/3) and (2/3, -1/3, 2/3) are orthogonal and derive the general form of the vector that is orthogonal to both.

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