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ture Supplement 4: Intro Vectors Worksheet B a vector (graphical, verbal, or mathematical) that is in: Provide an example of a) ID b) 2D c) 3D (graphi Outline the main vector operations we will use in class: a) Vector Addition b) Vector Subtraction c) Scalar Multiplication d) Vector Dot Product e) Vector Cross Product What is a resultant vector? 4 What is the component of a vector? 3,Define a unit vector. Give an example of a unit vector in ID, 2D, and 3D. 6. 2D Vectors. Let vector A 3 units west, vector B6 units 30 north of east, and vector C- 8 units 45° southeast. Do the following: a) Sketch all three vectors on the same coordinate plane. b) Find the x and y components of all three vectors. c) Find the resultant vector of A + B using the component method and show graphically d) Find the resultant vector A +B+C using the component method and show graphically. e) Find 2A +B using components. f Express A, B, and C, in terms of unit vectors. 7. Unit Vectors and Components in 2D. Given the vectors ax-21+ 4j, ay-3i-8j, and a, =-i + 3i, do the following: みFind the magnitude and directions of their vector sum. b) Sketch the vectors graphically (as best you can)! .Unit Vectors and Components in 3D. Given the vectors a, - 2i + 4j-3k, a, - 3i- 8/ + k, anda,--1 + 3j-2k, find the magnitude and direction of their vector sum. ot Product. Given the vectors A -31-5j and B- -6i + 4j, find the dot product and the angle between them. 10. Cross Product. Find the cross product A x B, where A 31-5j and B--6i+4

Answer 1