Jungle gym, dot products, unit vectors. A coordinate system is laid out along the bars of a large 3D jungle gym (the figure below). You start at the origin and then move according to the following steps. For each step, the distance (in meters) and direction in which you move are given by the cross product A x B of the given vectors A and B. For example, the first move is 18 m in the +z direction. What is the magnitude dnet of your final displacement from the origin? (a) A = 3.01, B = 6.0 (b) A = -4.01, B = 3.0k - − 8.0 (c) A = 2.0j, B = 4.0k (d) A = 3.0ĵ, B = (e) A = 4.0k, B = (f) A = 2.0î, B = - 2.01 − 4.0ĵ - #

Jungle gym, dot products, unit vectors. A coordinate system is laid out along the bars of a large 3D jungle gym (the figure below). You start at the origin and then move according to the following steps. For each step, the distance (in meters) and direction in which you move are given by the cross product A x B of the given vectors A and B. For example, the first move is 18 m in the +z direction. What is the magnitude dnet of your final displacement from the origin? (a) A = 3.01, B = 6.0 (b) A = -4.01, B = 3.0k - − 8.0 (c) A = 2.0j, B = 4.0k (d) A = 3.0ĵ, B = (e) A = 4.0k, B = (f) A = 2.0î, B = - 2.01 − 4.0ĵ - #

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter10: Rotational Motion

Section: Chapter Questions

Problem 13OQ: Let us name three perpendicular directions as right, up, and toward you as you might name them when...

See similar textbooks

Similar questions

At one point in space, the direction of the electric field vector Is given In the Cartesian system by the unit vector . If the magnitude of the electric field vector is E=400.0V/m , what are the scalar components , and of the electric field vector at this point? What is the direction angle of the electric field vector at this point?
What surface is represented by r a = const, that is described if a is a vector of constant magnitude and direction from the origin and r is the position vector to the point P(x1, x2, x3) on the surface?
Let us name three perpendicular directions as right, up, and toward you as you might name them when you are facing a television screen that lies in a vertical plane. Unit vectors for these directions are r, u, and t, respectively. Consider the quantity (3u2t). (i) Is the magnitude of this vector (a) 6, (b) 3, (c) 2, or (d) 0? (ii) Is the direction of this vector (a) down, (b) toward you, (c) up, (d) away from you, or (e) left?
Two points in the Cartesian plane are A(2.00m,4.00m) and B(-3.00m,3.00m) . Find the distance between them and their polar coordinates.
Vectors A and B are two orthogonal vectors in the xy -plane and they have identical magnitudes. If A=3.0 i+4.0 j , find B .
I am confused on how to start this problem. I know I need to use the y(x,t)=Asin(kx+wt+phi) formula, but do I need to take the derivative of that once I enter in all the variables? I am referenceing the problem 14 in the pic I attached. Thanks!
Given vector r=(-3,4) in rectangular coordinates, find its magnitude and direction (r,θ)
Express the position vector rAB in Cartesianvector form, then determine its magnitude and coordinatedirection angles.
Let vectors A=(2,1,−4), B=(−3,0,1), and C=(−1,−1,2).Calculate the following: What is the angle θAB between A and B?
Answer the following: On what plane is the vector <1,0,0> located? What is the axis of <1,0,0>? The vector <1,2,3> is a unit vector, true or false? A vector is always _____ to its unit vector representation
The resultant of two vectors is 20 units long and makes angles of 20o and 50o with thetwo vectors, respectively. Show graphically how you obtain the magnitudes of the twovectors.
Show that for orthogonal coordinate systems gij= 0 for i not equal to j