CE 2450 Chapter : Lesson 4
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Rectangular components of a vector. A = a" + az. A" = ax + ay. A = ax + ay + az. A = axi + ayj + azk. Direction of a cartesian vector: the direction of a cartesian vector is defined by the coordinate direction angles ( , Direction cosines of a vector can be found from its unit vector. U a = cos i + cos j + cos k cos2 + cos2 + cos2 = 1. A = a u a = acos i + acos j + acos k = ax. Example: problem 2. 59 part 1. Express f2 in cartesian vector form. Example: problem 2. 59 part 2. Express f1 in cartesian vector form. 2. 6 addition of cartesian vectors. A = axi + ayj +azk. B = bxi + byj +bzk. R = a + b = (ax + bx)i +(ay + by)j + (az +bz)k. Fr = fxi + fyj + fzk.