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2. Which of the following vectors are the same? (a) v = h4, 3i (b) v has initial point: (5, β3) and terminal point: (9, 0) (c) kvk = 5 and v makes an angle of βΟ/2 with the positive x-axis. (d) kvk = 5 and v makes an angle of tanβ1 (3/4) with the positive x-axis. (e) v = h0, β5i 2.1. GEOMETRY AND ALGEBRA OF VECTORS 107 3. Find the components of a vector in the plane that is 4 units long and makes an angle of 4Ο 3 with the positive x-axis. 4. Normalize the vector h3, 4, 7i. 5. Find a unit vector that points in the same direction as the vector from
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2. Which of the following vectors are the same? (a) v = h4, 3i (b) v has initial point: (5, β3) and...
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