For the vectors A → and B → in Fig. E1.24, use a scale drawing to find the magnitude and direction of (a) the vector sum A → + B → and (b) the vector difference A → − B → . Use your answers to find the magnitude and direction of (c) − A → − B → and (d) B → − A → . (See also Exercise 1.31 for a different approach.)
For the vectors A → and B → in Fig. E1.24, use a scale drawing to find the magnitude and direction of (a) the vector sum A → + B → and (b) the vector difference A → − B → . Use your answers to find the magnitude and direction of (c) − A → − B → and (d) B → − A → . (See also Exercise 1.31 for a different approach.)
For the vectors
A
→
and
B
→
in Fig. E1.24, use a scale drawing to find the magnitude and direction of (a) the vector sum
A
→
+
B
→
and (b) the vector difference
A
→
−
B
→
. Use your answers to find the magnitude and direction of (c)
−
A
→
−
B
→
and (d)
B
→
−
A
→
. (See also Exercise 1.31 for a different approach.)
Interactive Solution 1.55 presents the solution to a problem that is similar to this one.
Vector A has a magnitude of 142 units and points 32.0° north of west. Vector B points 67.0° east of north. Vector C points
16.0° west of south. These three vectors add to give a resultant vector that is zero. Using components, find the magnitudes
of the following vectors.
(a) vector B
units
(b) vector C
units
tivate
tual i.
and a
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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
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 = 1498 N and angle A = 55°, and vector B has magnitude B = 1672 N
and angle 0B = 80°. 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 – Ả
Note: Express your answers for between 180° and 180° relative to the +x-axis.
B
8₁
YA
Ө
A
X
Chapter 1 Solutions
University Physics with Modern Physics (14th Edition)
Physics for Scientists and Engineers: A Strategic Approach, Vol. 1 (Chs 1-21) (4th Edition)
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