Answered: given that A + B =x1i + y1j and A-B =…

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter1: Introduction And Vectors

Section: Chapter Questions

Problem 23P

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Find (a) the x- and (b) y-components of R = 2A B if A has components Ax = 15.0 m and Ay = 12.0 m whereas B has components Bx = 24.0 m and By = 8.00 m. (See Section 3.2.)
Calculate the result for each of the following cases using the correct number of significant figures. a. 3.07670 10.988 b. 1.0093 105 9.98 104 c. 5.44231064.008103
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.
A hiker walks from (x1, y1) = (4.00 km. 3.00 km) to (x2, y2) = (3.00 km, 6.00 km), (a) What distance has the traveled? (b) The hiker desires to return to his starting point. In what direction should he go? (Give the angle with respect to due cast.) (See Sections 3.2 and 3.3.)
Figure OQ1.13 shows two vectors D1 and D2. Which of the possibilities (a) through (d) is the vector D22D1, or (e) is it none of them? Figure OQ1.13
Vectors u = −10i + 3j and v = −7i − 9j. What is u − v? a −17i − 6j b 17i + 6j c 3i − 12j d −3i + 12j
What is the result when î + 14ĵ is multiplied by √49? a) 7î + 98ĵ b) 98î + 14ĵ c) 7î + 98ĵ d) (î + 7ĵ)*√49
If the vector A = I – 2j and the vector B = 4i – 5j , what angle does A + B form with the x-axis?
Problem 4: Two points in a plane have polar coordinates P1(2.4 m, Jt/6) and P2(3.8 m, 2jt/3). P1(, y) m 20% Part (a) Determine the x value of the Cartesian coordinates for Pj.
If A = 3i + 3j and B = 7i + 5j, what is the magnitude of C = A - B
Given p with magnitude of 40 and a direction of 25°, q with magnitude of 75 and a direction of 270°, and r with magnitude of 30 and a direction of 220°, what is the magnitude of p + q + r? Round to the thousandths place. a 42.379 b 68.926 c 76.232 d 78.509
Vector has a magnitude of 3 units and it creates an angle of 160° with the positive x-axis. Find the magnitude and direction of 57. Give the direction as an angle measure between 0° and 360°. ||5v|| = units 57 creates an angle of x-axis. O with the positive

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given that A + B =x1i + y1j and A-B = x2i + y2j what is A?