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 = 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 (c) Dv₂ = B - A N Note: Express your answers for between -180° and 180° relative to the +x-axis. B Ө

Principles of Physics: A Calculus-Based Text
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Chapter1: Introduction And Vectors
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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
(c) Dv₂ = B - A
Note: Express your answers for between - 180° and 180° relative to the +x-axis.
B
8₁
B
y
DA
Ө
A
X
Transcribed Image Text: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 (c) Dv₂ = B - A Note: Express your answers for between - 180° and 180° relative to the +x-axis. B 8₁ B y DA Ө A X
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