ENGG 202 Lecture 1: Tutorial 3 Solutions.pdf

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1*) the line ca is contained in the x-y plane. Point o is located directly under point a. Express the unit vector directed along the line ab in cartesian vector format given that the angle oba ( ) is 65o and angle xob ( ) is 40o. Ans: uab = 0. 324i + -0. 906j + 0. 272k. Solution strategy: first, recognize that we are asked to find components for the vector directed from a to. Since we want components of a unit vector then just take the magnitude of the vector as 1. Using the angle , and considering the right triangle aob, determine 2 components, 1 that is on line ao and is parallel to the y-axis (so it is the y component) and 1 that is parallel to line ob. Now break the ob component into 2 further components using the angle , and considering the right triangle hob.

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