DP-3 For the three vectors shown to the right, A-B+C. Or, solving for C, C A-B...
1. This quasi-"walkthrough" problem is great practice in cross-products, vectors, and integration. Consider the current loop shown in Figure 2, with B _Bx, and the loop lying in the x - z plane of the page (y points into the page). We wish to find the net torque on this current loop. we'll do this by integrating in θ, the angle shown (a) We'll start with a little segment dl at point p as shown in the figure. What is...
DP-2 A force F-4Ni-3Nj is applied to a box that is displaced AS-7mi+-2mj while moving along a ramp as shown to the right. Keep 3 significant figures in all answers. a) Find the work done by the force F for this displacement AS using the dot product of the unit vectors FANANj b) Find the magnitude of F and of AS. c) Find the angle 0 between F and the ramp.
Problem 3 - Find the dot product between vectors A and B where Pa Worksheet 6 Vector Dot and Cross Products Problem 4 - Use the vector dot product to find the angle between vectors A and B where: Defining the Vector Cross Product: It turns out that there are some weird effects in physics that require us to invent a new kind of vector multiplication. For example, when a proton moves through a magnetic field, the force on the...
Dot Product: DP-1 A 7.50kg box is pushed 1.70m along a frictionless horizontal table top by a constant force directed θ below as shown to the right. The work done by P is 25.0J. Find the angle 0 between the force P and the horizontal.
Problem 3 - Find the dot product between vectors A and B where Pa Worksheet 6 Vector Dot and Cross Products Problem 4 - Use the vector dot product to find the angle between vectors A and B where: Defining the Vector Cross Product: It turns out that there are some weird effects in physics that require us to invent a new kind of vector multiplication. For example, when a proton moves through a magnetic field, the force on the...
6. 2D vectors 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...
In the figure below are three vectors. Vector A has a length of 38.0, B\'s length is 64.0, and C is 23.0. Find the following: 1. A(dot)B = ? 2. B(dot)(A+C) = ? 3. At what angles above and below the horizontal line could vector A be at so that A·B = 0? a. 90 degrees above, 90 degrees below b. 90 degrees above, 70 degrees below c. 110 degrees above, 70 degrees below d. 20 degrees above, 160 degrees...
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...
6 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...
Find the components of the three vectors as shown. a-8m, b-6m, c-5m. Find a+b-č both, graphically and analytically. 1. CL 30° 40° 20 2. Find i j k in unit-vector notations. Is it a unit-vector? Justify your answer 3. Vector ã is 3m long and is 60° above x-axis in the first quadrant. Vector b is 5m long and is 50° below the x-axis in the fourth quadrant. Find a) + b, b) а-b, c) b-a. Provide answers to a)-c)...