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Unformatted text preview: 1.1-Vectors Deﬁnitions: vector: addition scalar multiplication indent subtraction magnitude: unit vector: i and j: Examples: Find the components of the vector which begins at the point (5, 2) and ends at the point (−1, 3). Then ﬁnd a unit vector parallel to this vector. Given a =< 5, 2 > and b = −2i + 4j, ﬁnd each of the following: a + b, a − b. 2a. 3a + 4b. Two people are to pull ropes attached to a 50kg box (on a frictionless surface) as shown in the ﬁgure given in class. With what force does each person have to pull in order to have the box accelerate straight ahead at 0.5 meters per second squared? On Your Own: #1,3,5,9,15,17,23,27,30 ...
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