In the sum, vector has a magnitude of 11.1 m and is angled 37.8degree counterclo

Question

In the sum, vector has a magnitude of 11.1 m and is angled 37.8degree counterclockwise from the +x direction, and vector has a magnitude of 14.4 m and is angled 19.3degree counterclockwise from the -x direction. What are (a) the magnitude and (b) the angle (relative to +x) of? State your angle as a positive number. For the vectors in the figure, with a = 5.3 and b = 5.6, what are (a) the z component of, (b) the z component of, and (c) the z component of? Three vectors are given by, , and. Find (a) and (b). Vector has a magnitude of 19 units, vector has a magnitude of 8.1 units, and has a value of 14.0. What is the angle between the directions of and? For the vectors in the figure, with a = 4.5, b = 3.1, and c = 5.5, calculate (a), (b), and (c). If is added to, the result is. If is subtracted from, the result is. What is the magnitude of? In the figure, a cube of edge length a = 2.40 m sits with one corner at the origin of an xyz coordinate system. A body diagonal is a line that extends from one corner to another through the center. In unit-vector notation, what is the body diagonal that extends from the corner at (a) coordinates (0, 0, 0), (b) coordinates (a, 0, 0), (c) coordinates (0, a, 0), and (d) coordinates (a, a, 0)? (e) Determine the angles that the body diagonals make with the adjacent edges. (f) Determine the length of the body diagonals. Here are three displacements, each in meters:, , and. What is ((a), (b) and (c) for i, j and k components respectively)? (d) What is the angle between and the positive z axis? (e) What is the component of along the direction of? (f) What is the component of that is perpendicular to the direction of and in the plane of and? What are (a) the x component, (b) the y component, and (c) the z component of if, , and. (d) Calculate the angle between and the positive z axis. (e) What is the component of along the direction of? (f) What is the magnitude of the component of perpendicular to the direction of but in the plane of and?

Explanation / Answer

4) let   a = 19 unit    , b = 8.1 unit    ,   R = resultant =14 unit ,

   then formula :: R^2 =a^2+b^2 + 2*a*b*cos(theta)
                        14^2 = 19^2 +8.1^2 + 2*19*8.1*cos(theta)
                   
                       2*19*8.1*cos(theta)    = -19^2 -8.1^2 +14^2
                        307.8*cos(theat)     =-230.61
                              cos(theat)   =- 230.61/307.8
                                 theat =cos^-1 (-0.749)
                                 theta =138.5 degree
                            
      angle bteween a and b = 138.5 degree
       
    =

Related Questions

Navigate

• Browse (All)
• Browse I
• Subjects

---