In a three-dimensional space we have a vector R =( 4at+ 3aj+ 5ak). Another vector S has the same Y component as vector R, but a quarter more of its X component and lies in the XY plane. Finally, a vector T has the same X component as vector R, but a component and equal to Ty = -a, and it is also in the XY plane. Find: a) The angle between the vectors R and T. And a vector perpendicular to the plane formed by the vectors R and S. b) The angle between the result of the three vectors and the Z axis. And a vector that cancels the result of the vectors S and T. c) Name at least two ways you could find the angle between the vectors S and T.Clearly justify your reasoning.

In a three-dimensional space we have a vector R =( 4at+ 3aj+ 5ak). Another vector S has the same Y component as vector R, but a quarter more of its X component and lies in the XY plane. Finally, a vector T has the same X component as vector R, but a component and equal to Ty = -a, and it is also in the XY plane. Find: a) The angle between the vectors R and T. And a vector perpendicular to the plane formed by the vectors R and S. b) The angle between the result of the three vectors and the Z axis. And a vector that cancels the result of the vectors S and T. c) Name at least two ways you could find the angle between the vectors S and T.Clearly justify your reasoning.

University Physics Volume 1

18th Edition

ISBN:9781938168277

Author:William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:William Moebs, Samuel J. Ling, Jeff Sanny

Chapter2: Vectors

Section: Chapter Questions

Problem 59P: At one point in space, the direction of the electric field vector Is given In the Cartesian system...

See similar textbooks

Similar questions

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?
Vector B is 5.0 cm long and vector A is 4.0 cm long. Find the angle between these two vectors when |A+B|=3.0cm and |AB|=3.0cm .
Find the scalar components of three-dimensional vectors G and H in the following figure and write the vectors in vector component form in terms of the unit vectors of the axes.
A skater glides along a circular path of radius 5.00 m in clockwise direction. ‘When he coasts around one- half of the circle, starting from the west point, find (a) the magnitude of his displacement vector and (b) how far he actually skated. (c) What is the magnitude of his displacement vector when he skates all the way around the circle and comes back to the west point?
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 .
Show that (BC)A is the volume of the parallelepiped, with edges formed by the three vectors in the following figure.
Given two displacement vectors A=(3.00i-4.00j-4.00K)m and B=(2.00i+3.00j-7.00K)m , find the displacements and their magnitudes for (a) C=A+B and (b) D=2AB .
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?
The polar coordinates of a point are r = 5.50 m and = 240. What are the Cartesian coordinates of this point?
For the two vectors find A − B and |A – B| component of B along A angle between A and B A × B (A − B) × (A + B)
Rectangular coordinates of a point are given by (2,y) and its polar coordinates are given by (r,/6) . Find y y and r .
Find the angle between vectors for (a) D=(-3.0i-4.0j)m and A=(-3.0i+4.0j)m and (b) D=(2.0i+4.0j+K)m and B=(-2.0i+3.0j+2.0K)m .