Figure E1.43 30.0° (a) Is the vector (î+ĵ+ k) a unit vector? Jus- tify your answer. (b) Can a unit vector have any components with magnitude greater than unity? Can it have any negative components? In each case justify your answer. (c) If A = a(3.0î + 4.0ĵ), where a is a constant, determine the value of a that makes A a unit vector. B (2.4 m) A (3.60 m) O 70.0°
Figure E1.43 30.0° (a) Is the vector (î+ĵ+ k) a unit vector? Jus- tify your answer. (b) Can a unit vector have any components with magnitude greater than unity? Can it have any negative components? In each case justify your answer. (c) If A = a(3.0î + 4.0ĵ), where a is a constant, determine the value of a that makes A a unit vector. B (2.4 m) A (3.60 m) O 70.0°
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Transcribed Image Text:vector
(a) Is the
(î + ĵ + k) a unit vector? Jus-
tify your answer. (b) Can a unit
vector have any components
with magnitude greater than
Figure E1.43
30.0°
B (2.4 m)
y
0
A (3.60 m)
70.0°
X
unity? Can it have any negative components? In each case justify
your answer. (c) If A = a(3.0î + 4.0ĵ), where a is a constant,
determine the value of a that makes A a unit vector.
C
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