7. Given the following components for vectors A, B, and C, find the magnitude and direction for the resultant vector R. Vector X-component y-component A +4 -1 В -1 - 6 +3 +3 a. 7, 320° in standard position b. 10, 40° in standard position c. 7, 330° in standard position d. 10, 30° in standard position

7. Given the following components for vectors A, B, and C, find the magnitude and direction for the resultant vector R. Vector X-component y-component A +4 -1 В -1 - 6 +3 +3 a. 7, 320° in standard position b. 10, 40° in standard position c. 7, 330° in standard position d. 10, 30° in standard position

Physics for Scientists and Engineers with Modern Physics

10th Edition

ISBN:9781337553292

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter3: Vectors

Section: Chapter Questions

Problem 20P: Given the displacement vectors A=(3i4j+4k)m and B=(2i+3j7k)m, find the magnitudes of the following...

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Do not solve the full qn My question is why is the vector VAot = 1.5 and VAon =-2.6 as shown in the solution. I understand VAot is = -3cos30=-1.5 and VAon = -3sin30 =-2.6 Why is it postive 1.5 instead of negative 1.5 or for VAon why isit negative 2.6 and not positive 2.6? Why is Vb1t = -0.866 and not 0.866 and Vb1n = -0.5 and not 0.5. I dont get it how to visualise the vector direction. Please use a vector diagram with the angles to illustrate it.
Do not solve the full qn My question is why is the vector VAot = 1.5 and VAon =-2.6 as shown in the solution. I understand VAot is = -3cos30=-1.5 and VAon = -3sin30 =-2.6 Why is it postive 1.5 instead of negative 1.5 or for VAon why isit negative 2.6 and not positive 2.6? Why is Vb1t = -0.866 and not 0.866 and Vb1n = -0.5 and not 0.5. I dont get it how to visualise the vector direction. Please provide your answer by drawing a vector diagram with the angles to illustrate it.
Vector v = <1,1,0> and vector w = <-1,-1,sqrt2>. What is the angle between v and w in degrees?
4. If vector B is added to vector A, under what conditions does the resultant vectorhave a magnitude equation to A + B? Under what conditions is the resultantvector equal to zero?