Use the component method to add the vectors
34. The displacement vectors
Want to see the full answer?
Check out a sample textbook solutionChapter 1 Solutions
Principles of Physics: A Calculus-Based Text
- A vector points from the origin into the second quadrant of the xy plane. What can you conclude about its components? (a) Both components are positive. (b) The x component is positive, and the y component is negative. (c) The x component is negative, and the y component is positive. (d) Both components are negative. (e) More than one answer is possible.arrow_forwardA delivery man starts at the post office, chives 40 km north, then 20 km west, then 60 km northeast, and finally 50 km north to stop for lunch. Use a graphical method to find his net displacement vector.arrow_forwardA 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?arrow_forward
- 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.arrow_forwardAt 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?arrow_forwardConsider 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.arrow_forward
- HW1.1. 2D Vector addition/subtraction Two vectors lying in the x-y plane are defined by their magnitudes and direction angles, as shown in the figure below. Vector A has magnitude A = 1498 N and angle A = 55°, and vector B has magnitude B = 1672 N and angle 0B = 80°. Using Cartesian components, determine the magnitude and direction angle of the following three vectors: (a) Sy = A + B (b) Ďv₁ = A - B (c) Dv2 = B – Ả Note: Express your answers for between 180° and 180° relative to the +x-axis. B 8₁ YA Ө A Xarrow_forwardThree displacement vectors of a croquet ball are shown in the figure, where |A| = 16.0 units, |B| = 25.0 units, and |c] = 20.0 units. B. A 45.0° 45.0° (a) Find the resultant in unit-vector notation. R = units (b) Find the magnitude and direction of the resultant displacement. magnitude |unit(s) direction ° counterclockwise from the +x axisarrow_forwardQ1.23 Consider the two repeated vector products A × (B × C) and (Ả × B) × Č. Give an example that illustrates the general rule that these two vector products do not have the same magni- tude or direction. Can you choose the vectors Á, B, and Ć such that these two vector products are equal? If so, give an example.arrow_forward
- Problem 2: Given vectors: A = 3 i+j- k, B = - i+ 2j+ 5 k, C = 2 j - 3 k. Find: 1. C. (A + B) 2. Cx (A - B)arrow_forwardThree displacement vectors of a croquet ball are shown in the figure, where |A| = 15.0 units, |B| = 35.0 units, and ICI = 20.0 units. A R = 0 B 45.0° 45.0° C x (a) Find the resultant in unit-vector notation. units (b) Find the magnitude and direction of the resultant displacement. magnitude unit(s) direction counterclockwise from the +x axisarrow_forwardDisplacement vector A→A→ is directed to the west and has magnitude 2.76 km. A second displacement vector B→B→ is also directed to the west and has magnitude 8.94 km. a. What is the magnitude of A→+B→A→+B→ ? answer in km/west b.What is A→−B→A→-B→ due east? answer in km c. What is the magnitude of B→−A→B→-A→ ? asnwer in km westarrow_forward
- Principles of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningUniversity Physics Volume 1PhysicsISBN:9781938168277Author:William Moebs, Samuel J. Ling, Jeff SannyPublisher:OpenStax - Rice UniversityCollege PhysicsPhysicsISBN:9781305952300Author:Raymond A. Serway, Chris VuillePublisher:Cengage Learning