Question

7.

Lec ture Supplement 4: Intro Vectors Worksheet B Provide an example of a) ID b) 2D c) 3D a vector (graphical, verbal, or mathematical) that is in: (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? &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-2i + 4j, a,-3i-8j, and a3i, do the following: 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, 21 + 4j -3k, a, 31- 8j + k, and a,-i+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. 1o. Cross Product. Find th e cross product A × B, where A = 3i-Sj and B =-6i + 4j

Answer 1