V₂ = 12 units 60° y V₁ = 10 units PROBLEM 1/2 3 - X M 1 SS For the given vectors V₁ and V₂ of Prob. 1/2, de- termine the magnitude of the vector difference V' =V₂ - V₁ and the angle ex which V' makes with the positive x-axis. Complete both graphical and algebraic solutions.

V₂ = 12 units 60° y V₁ = 10 units PROBLEM 1/2 3 - X M 1 SS For the given vectors V₁ and V₂ of Prob. 1/2, de- termine the magnitude of the vector difference V' =V₂ - V₁ and the angle ex which V' makes with the positive x-axis. Complete both graphical and algebraic solutions.

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

See similar textbooks

Similar questions

Let C = A + B. Vector C has a length of 5.00 cm and points north. Vector A has length 2.30 cm and a direction of 58.0 degrees north of east. (Let north = +y and east= +x).a) Draw a vector addition diagram showing C = A + B and label all 3 vectors. Use a straight edge and draw them to scale in cm if possible (you can estimate the angle).b) What is the magnitude of vector B? c) What is the angle of B in degrees west of north? d) Let D = C x A (vector product of C and A). What is the magnitude and direction of vector D?e) What angle (in degrees) does vector E= 2.00i+ 4.00j-3.00k make with the +y axis?
(Figure 1) shows vectors A and B. Vector C is such that A+B+C = 0. Part A What is the component C, of vector C? Express your answer with the appropriate units. HẢ Cx = Value Units %3D Submit Request Answer Part B Figure < 1 of 1 What is the component Cy of vector C? Express your answer with the appropriate units. y 4.0m μΑ HẢ Value Units %3D 60° 20° 3.0 m Submit Request Answer 身

Vector C has a magnitude of 22.2 m and points in the –y- direction. Vectors A and B both have positive y-components, and make angles of a = 43.9° and B = 27.2° with the positive and negative x-axis, respectively. If the vector sum A + B +C = 0, what are the magnitudes of A and B? A B a JA| = m |B| m Figure is not to scale.
A new landowner has a triangular plece of flat land she wishes to fence. Starting at the west corner, she measures the first side to be 80 m long and the next to be 105 m. These sides are repr as displacement vectors A and B in the figure below, where 8₁ = 21°, and 0₂ = 14⁰, A+B+C =0 0=? C=? m B = 105 m ZH C B 0₁ x A = 80 m y A W N S E She then correctly calculates the length and orientation of the third side C. What is her result in meters and degrees south of west? south of west
Current Attempt in Progress Vector A has a magnitude of 7.27 units and points due east. Vector 3 points due north. (a) What is the magnitude of , if the vector A + B points 50.3 ° north of east? (b) Find the magnitude of A + B. (a) Number (b) Number i Units Units
2. Vector Vi is 6.6 cm long and points along the negative x axis. Vector is 8.5 cm long and points at to the positive x axis. Determine the sum (magnitude and angle). 3. Vi is a vector 30m in magnitude and points at an angle of 23.4° above the negative x axis. V, is a vector 50m in magnitude and points 49° below the -x aYis Yira yont
Vector A has components ??=−10.4 and ??=10.4 What is the magnitude of this vector? Find the angle θ in degrees between the calculated vector and the +?axis.
Vector A⃗ has components Ax = 1.20 cm, Ay = 2.25 cm; vector B⃗ has components Bx = 4.00 cm, By = -3.80 cm. A) Find the components of the vector difference B⃗ −A⃗ ? Express your answers in centimeters separated by a comma. B) Find the magnitude of the vector difference B⃗ −A⃗ ? Express your answer to three significant figures. C) Find the counterclockwise angle the vector difference B⃗ −A⃗ makes with the +x axis? Express your answer in degrees.
Assuming the +x-axis is horizontal and points to the right, resolve the vectors given in the following figure to their scalar components and express them in vector component form. yA 1. 60° A = 10.4 30° 30° 20.2 6 D = 20.2 53 37° A = В - F = C = 12.4 B = 5.4
The Scalar Product The vectors A andB are given by A = 31 + 1j and B = -1î + 1j. (a) Determine the scalar product A - B. SOLUTION Conceptualize There is no physical system to imagine here. Rather, it is purely a mathematical exercise involving two (vectors Categorize Because we have a definition for the scalar product, we categorize this example as a substitution vy problem. Substitute the specific vector expressions for A and B: A-B = (31 + 1j) - (-1î + 1j) = [3i - (-1)i - [31 - 15 - 13 - (-1) + [1j - 15] The same result is obtained when we use the equation A -B = AB, + A8, + A,B, directly, where A, = 3, A, = 1, B, = -1 and 8, = 1. (b) Find the angle e between A and B. SOLUTION Evaluate the magnitudes of A and B using the Pythagorean theorem: A = VA,? + A, = B = V82 + B 2 = Use the equation A - B = AB cos(e) and the result from part (a) to find the angle (in degrees). cos(e) = AB EXERCISE As a particle moves from the origin to (7i + 5j) m, it is acted upon by a force given by (7î +…
Problem 3: Vector A has magnitude 8 and angle 29°. Vector B has magnitude 13 and angle 111°. Part (a) What is the magnitude of the resultant vector? Numeric : A numeric value is expected and not an expression. r =
Vector C has a magnitude of 25.8 m and points in the -y- direction. Vectors A and B both have positive y-components, and make angles of a = 41.4° and ß = 26.7° with the positive and negative x-axis, respectively. If the vector sum A+B+C = 0, what are the magnitudes of A and B? |A| = |B| = m m B A Figure is not to scale.