Multivariable Calculus (Math 214) Assignment

due January 26, 2001

  1. Let A and B be the points in Cartesian 3-space given by

    A = (2, -3, 5) , B = (0, 1, -1) .

    1. Find the sum A + B.

    2. Find the difference A - B.

    3. Find the norms ||A|| and ||B|| .

    4. Find the distance of A from B.

    5. What is the angle at the origin in the triangle with vertices at A, B, and the origin?

  2. Let Delta be the triangle in the Cartesian plane with vertices

    A = (2, 1), B = (1, 3), C = (-1, 2).
    Find the point where the 3 medians of Delta intersect.

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