Principles of Physics: A Calculus-Based Text
5th Edition
ISBN: 9781133104261
Author: Raymond A. Serway, John W. Jewett
Publisher: Cengage Learning
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Chapter 1, Problem 71P
(a)
To determine
The vector expression for the face diagonal vector
(b)
To determine
The magnitude of the vector
(c)
To determine
The vector expression for the body diagonal vector
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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
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(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.
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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 = 1607 N and angle A = 55°, and vector B has magnitude B = 1133 N
and angle B= 25°. Using Cartesian components, determine the magnitude and direction angle of the
following three vectors:
(a) Sy= A + B
(b) Ďv₁ = A - B
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Note: Express your answers for between - 180° and 180° relative to the +x-axis.
B
8₁
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y
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A small plane flies a distance d1 = 32 km in a direction θ1 = 64o north of east and then flies d2 = 23 km in a direction θ2 = 18o north of east. What is the magnitude of the net displacement vector of the plane, in units of km and wh is the direction of the net displacement vector of the plane? Express the direction as an angle measured in degrees north of east.
Chapter 1 Solutions
Principles of Physics: A Calculus-Based Text
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