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Unformatted text preview: a × b is orthogonal to a . 3 3. Find a unit vector vector ( i.e. a vector with magnitude 1) which is orthogonal to both 2 ij + k and i + j . 4 4. Find the equation of the plane that contains the points A (3 ,1 , 2), B (8 , 2 , 4), and C (1 ,2 ,3). 5 5. Let L be the line passing through the points A (1 , 2 , 3) and B (1 , 1 , 1). Find the point at which L intersects the plane yz = 0. 6 6. Find the equation of the line that passes through the origin and parallel to the line of intersection of the planes x + 2 yz = 0 and y + z + 6 = 0. 7...
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 Spring '10
 Edgars
 Linear Algebra, Vector Space, Euclidean geometry

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