then 17 IE (a) Is vector addition associative? That is, does (A+B) C = A+ (B + C)? (b) Justify your answe graphically. The vectors A and B are perpendicular to one anothe and in the same plane. Prove that A B+ A,By = 0. 18. . (a) What is the sum of A = 3.0 x + 5.0 y and B 1.0-3.0 y? (b) What are the magnitude and direction of A + B? 19. .For the two vectors = (20 m)x and x2 = (15 m)x, compute and show graphically (a) x+X2, (b) x1 - 20. and (c) X2-X1. 20.

then 17 IE (a) Is vector addition associative? That is, does (A+B) C = A+ (B + C)? (b) Justify your answe graphically. The vectors A and B are perpendicular to one anothe and in the same plane. Prove that A B+ A,By = 0. 18. . (a) What is the sum of A = 3.0 x + 5.0 y and B 1.0-3.0 y? (b) What are the magnitude and direction of A + B? 19. .For the two vectors = (20 m)x and x2 = (15 m)x, compute and show graphically (a) x+X2, (b) x1 - 20. and (c) X2-X1. 20.

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

Chapter1: Introduction And Vectors

Section: Chapter Questions

Problem 50P: Consider the three displacement vectors A=(3i3j)m, B=(i4j)m, and C=(2i+5j)m. Use the component...

See similar textbooks

Similar questions

Rectangular coordinates of a point are given by (2,y) and its polar coordinates are given by (r,/6) . Find y y and r .
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?
If A + B = 0, the corresponding components of the two vectors Aand Bmust be (a) equal, (b) positive, (c) negative, (d) of opposite sign.
Check Your understanding Using the three displacement vectors A , B , and F in Figure 2.13, choose a convenient scale, and use a ruler and a protractor to find vector G given by the vector equation G=A+2BF . The three displacement vectors A , B , and C in Figure are specified by their magnitudes A=10.0,B=7.0 and C=8.0 , respectively, and by their respective direction angles with the horizontal direction =35,=110 , and =30 . The physical units of the magnitudes are centimeters. Choose a convenient scale and use a ruler and a protractor to find the following vector sums: (a) R=A+B , (b) D=AB , and (c) S=A3B+C .
Consider the three displacement vectors A=(3i3j)m, B=(i4j)m, and C=(2i+5j)m. Use the component method to determine (a) the magnitude and direction of the vector D=A+B+C and (b) the magnitude and direction of E=AB+C.
Assuming the +x-axis is horizontal to the right for the vectors in the previous figure, find the following vector products: AC , (b) AF , (c) DC , (d) A(F+2C) , (e) iB , (f) jB , (g)
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 .
Show that the force vector is orthogonal to the force vector
Find the angles that vector makes with the and axes.
Figure 1.19 shows two vectors lying in the xy-plane. Determine the signs of the x- and y-components of A, B, and A+B.
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?
Vectors A and B both lie in the x-y plane. Vector A is given by a=4i-7j and vector B has a magnitube of 15,i.e. |B| = 15. If vectors A and B are perpendicular to one another, what does vector B equal?