Exam 1

  1. Question

    What is the distance between the two points p=(2,4)p = (2, 4) and q=(5,5)q = (5, 5) in a Cartesian coordinate system?


    1. 1.2611.261
    2. 2.0002.000
    3. 2.6952.695
    4. 0.4080.408
    5. 3.1623.162

    Solution

    The distance dd of pp and qq is given by d2=(p1−q1)2+(p2−q2)2d^2 = (p_1 - q_1)^2 + (p_2 - q_2)^2 (Pythagorean formula).

    Hence d=(p1−q1)2+(p2−q2)2=(2−5)2+(4−5)2=3.162d = \sqrt{(p_1 - q_1)^2 + (p_2 - q_2)^2} = \sqrt{(2 - 5)^2 + (4 - 5)^2} = 3.162.


    1. False
    2. False
    3. False
    4. False
    5. True