CALC 3 .pdf - October 6 2016 version A SHOW ALL WORK NAME...

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October 6, 2016 NAME___________________________ version A SHOW ALL WORK RED ID __________________________ Math 252 - Test 1 1. Find the equation of a sphere that just touches the planes z=4 and z=0 and has its center on the z axis. 2. Find the cosine of the acute angle between the normal vectors of the planes 2x+2y+z=7 and 2x 2y-z = 4. 3. Sketch a vector c satisfying a - b + c = 0, where a and b are the vectors shown below.
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October 6, 2016 NAME___________________________ version A SHOW ALL WORK RED ID __________________________ 4. Write the vector w = x, y as a sum u + v, where u is parallel to 1, 1 and v is perpendicular to 1, 1 . 5. Vectors x, -4, 1 and x, x, 4 are orthogonal. x = 6. (j × i) × (2j+k) = 7. A particle travels along the line r (t) = t, 2-3t, 1 . Find the point where its path intersects the plane 4x-y+z=6.
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  • Fall '03
  • Bologna

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