SSM ILW The three vectors in Fig. 3-33 have magnitudes a = 3.00 m, b = 4.00 m, and c = 10.0 m and angle θ = 30.0°. What are (a) the x component and (b) the y component of a → ; (c) the x component and (d) the y component of b → ; and (e) the x component and (f) the y component of c → ? If c → = p a → + q b → , what are the values of (g) p and (h) q ? Figure 3-33 Problem 43.
SSM ILW The three vectors in Fig. 3-33 have magnitudes a = 3.00 m, b = 4.00 m, and c = 10.0 m and angle θ = 30.0°. What are (a) the x component and (b) the y component of a → ; (c) the x component and (d) the y component of b → ; and (e) the x component and (f) the y component of c → ? If c → = p a → + q b → , what are the values of (g) p and (h) q ? Figure 3-33 Problem 43.
SSM ILW The three vectors in Fig. 3-33 have magnitudes a = 3.00 m, b = 4.00 m, and c = 10.0 m and angle θ = 30.0°. What are (a) the x component and (b) the y component of
a
→
; (c) the x component and (d) the y component of
b
→
; and (e) the x component and (f) the y component of
c
→
? If
c
→
= p
a
→
+ q
b
→
, what are the values of (g) p and (h) q?
Consider the two vectors A = 5 î – ĵ and B = - î - 6 j.
(a) Calculate A + B
î +
4
-7
(b) Calculate А - В
6.
Enter a number. ĵ
(c) Calculate A + B
8.06
(d) Calculate A - B
6.08
You appear to have correctly calculated the magnitude using your incorrect values from part (b).
(e) Calculate the directions of A + B and A - B.
+ B
-60.255
(counterclockwise from the +x axis)
A -B
9.46
В
Draw a careful picture of this vector and then check your trigonometry definitions.° (counterclockwise from the +x axis)
Two vectors Á and B have precisely equal mag-
nitudes. For the magnitude of A + B to be 100 times larger
than the magnitude of Á – B, what must be the angle
between them?
Two vectors P = 2i + bj + and a-i+j+k will be parallel if
(d) b=- 4
(a) b = 0
(b) ь — 1
(c) b = 2
Physics for Scientists and Engineers: A Strategic Approach, Vol. 1 (Chs 1-21) (4th Edition)
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