Components of Vectors
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Question “Components of Vectors”
x.øi5ss=”problemIntroduction”>Shown is a 10 by 10 grid, with coordinate axes x and y.
The grid runs from -5 to 5 on both axes. Drawn on this grid are four vectors, labeled through .This problem will askyou various questions about these vectors. Allanswers should be in decimal notation, unless otherwise specified.
Part AWhat is the x component of ?
Express your answer to two significant figures.
= | ||
Part BWhat is the y component of ?
Express your answer to the nearest integer.
= | ||
Part CWhat is the y component of ?
Express your answer to the nearest integer.
= | ||
Part DWhat is the component of ?
Express your answer to the nearest integer.
= | ||
The following questions will ask you to give both components of vectors using the ordered pairs method. In this method, the x component is writtenfirst, followed by a comma, and then the y component. For example, the components of would be written 2.5,3 in ordered pair notation.
The answers below are all integers, so estimate the components to the nearest whole number.Part EIn ordered pair notation, write down the components of vector .
Express your answers to the nearest integer.
, = | ||
Part FIn ordered pair notation, write down the components of vector .
Express your answers to the nearest integer.
, = | ||
Part GWhat is true about and ? Choose from the pulldown list below.
a. they have different components and are not the same vector b. they have the same components but are not the same vector c. they are the same vectors |
Answer
a. 2.5 b. 3 c. -3 d. -2 e. (2, -3) f. (2,-3) g. c
Conclusion
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