What is the magnitude of the vector
The magnitude of the vector
Answer to Problem 1OQ
The magnitude of the vector
Explanation of Solution
Write the formula for the magnitude of a vector.
Here,
Conclusion:
Substitute
The magnitude of the vector
Want to see more full solutions like this?
Chapter 3 Solutions
Bundle: Physics for Scientists and Engineers with Modern Physics, Loose-leaf Version, 9th + WebAssign Printed Access Card, Multi-Term
- Lei B = 5.00 m at 60.0. Let the vector C have the same magnitude as A and a direction angle greater than that of A by 25.0. Let A B = 30.0 m2 and B C = 35.0 m2. Find the magnitude and direction of A.arrow_forwardVector A has x and y components of 8.70 cm and 15.0 cm, respectively; vector B has x and y components of 13.2 cm and 6.60 cm, respectively. If AB+3C=0, what are the components of C?arrow_forwardA pirate has buried his treasure on an island with five trees located at the points (30.0 m, 20.0 m), (60.0 m, 80.0 m), (10.0 m, 10.0 m), (40.0 m, 30.0 m), and (70.0 m, 60.0 m), all measured relative to some origin, as shown in Figure P1.69. His ships log instructs you to start at tree A and move toward tree B, but to cover only one-half the distance between A and B. Then move toward tree C, covering one-third the distance between your current location and C. Next move toward tree D, covering one-fourth the distance between where you are and D. Finally move toward tree E, covering one-fifth the distance between you and E, stop, and dig. (a) Assume you have correctly determined the order in which the pirate labeled the trees as A, B, C, D, and E as shown in the figure. What are the coordinates of the point where his treasure is buried? (b) What If? What if you do not really know the way the pirate labeled the trees? What would happen to the answer if you rearranged the order of the trees, for instance, to B (30 m, 20 m), A (60 m, 80 m), E (10 m, 10 m), C (40 m, 30 m), and D (70 m, 60 m)? State reasoning to show that the answer does not depend on the order in which the trees are labeled. Figure 1.69arrow_forward
- Vector B has x, y, and z components of 4.00, 6.00, and 3.00 units, respectively. Calculate (a) the magnitude of B and (b) the angle that B makes with each coordinate axis.arrow_forwardWhat is the y component of the vector (3i8k) m/s? (a) 3 m/s (b) 8 m/s (c) 0 (d) 8 m/s (e) none of those answersarrow_forwardFigure 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_forward
- Vector A = 2.00i+ 3.00j Newtons. Vector B = 4.00 i +1.00 j meters. What is the dot product of vectors A and B ( in units of Newton * meters?arrow_forwardGiven two vectors A⃗ =−2.00i^+3.00j^+4.00k^A→=−2.00i^+3.00j^+4.00k^ and B⃗ =3.00i^+1.00j^−3.00k^B→=3.00i^+1.00j^−3.00k^. Obtain a unit vector perpendicular to these two vectors. Express your answer as a unit vector N^N^N_unit in the form NxNxN_x, NyNyN_y, NzNzN_z where the x, y, and z components are separated by commas.arrow_forwardThree vectors are given by a = -2.00 + (2.00)j + (2.00) k, b = 1.00 + (3.00)j + (3.00) k, and 7 = -1.00 + (2.00) + (-3.00) Â. Find (a) à · (b×7)., (b) à · (7+). (c) x-component, (d) y-component, and (e) z- component of ax (+) respectively. (a) Number i (b) Number (c) Number (d) Number i (e) Number i Units Units Units Units Units < <arrow_forward
- The scalar product of vector à = -31 +53 and vector B is 1. Which of the following is vector B A ? ○ 3i+5j ○ 31-83 ○ 31 +23 ○-31-43 Aarrow_forwardWhat will be the result if we express vector C = 2i -2j + 3k using another vector dhat. The dhat is expressed using i and j unit vectors as: dhat=(1/sqrt of 2)i + (1/sqrt of 2)jarrow_forwardGiven two vectors A= -2.00i + 3.00j +4.00k and B= 3.00i + 1.0oj -3.00k, do the following. (a) Find the magnitude of each vector. (b) Write an expression for the vector difference A - B using unit vectors. (c) Find the magnitude of the vector difference A - B Is this the same as the magnitude of B - A?arrow_forward
- Principles of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningCollege PhysicsPhysicsISBN:9781305952300Author:Raymond A. Serway, Chris VuillePublisher:Cengage LearningPhysics for Scientists and Engineers, Technology ...PhysicsISBN:9781305116399Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning