向量
1.(12 points) (a) Draw the following two vectors on the paper,and add them graphically.
vector a:5.0 cm in the +y direction
vector b:3.0 cm in the -x direction
(b) Using a ruler,measure the magnitude of the resultant vector c (=a+b)
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(c) Using the Phythagorian theorem,calculate the magnitude of c and compare it with the
measurement
(d) What is the angle between the vector c and vector
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\x05\x05\x05\x05\x05\x05
\x05\x05\x05\x05\x05\x05\x05
2.(8 points) (a) Draw the following two vectors on the paper,and add them graphically.
vector a:4.0 cm from the origin towards -y direction at an angle of 45 degrees from the +x
axis
vector b:6.0 cm in the +x direction
(b) Draw a vector d (=a-b)
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\x05\x05\x05\x05\x05\x05
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3.(6 points) Draw the following three vectors on the paper,and add them graphically.
vector a:3.0 cm from the origin towards +y direction at an angle of 30 degrees from the +x
axis
vector b:4.0 cm from the origin towards +y direction
vector c:5.0 cm from the origin towards -x direction
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\x05\x05\x05\x05\x05\x05
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4.(12 points) Add the following two vectors using their components and find the magnitude
and the direction (angle with respect to the +x axis) of the resultant vector.
vector a:9.0 cm from the origin towards +y direction at an angle of 22 degrees from the -x
axis
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vector b:4.0 cm in the -y direction
我不是要翻譯，我是完全沒學過這個.