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- Precalculus
- Further applications of
- Vectors
Given initial point
and terminal point
write the vector
in terms of
and
Draw the points and the vector on the graph.
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Given initial point
and terminal point
write the vector
in terms of
and
Draw the points and the vector on the graph.
Got questions? Get instant answers now!
Extensions
For the following exercises, use the given magnitude and direction in standard position, write the vector in component form.
A 60-pound box is resting on a ramp that is inclined 12°. Rounding to the nearest tenth,
- Find the magnitude of the normal (perpendicular) component of the force.
- Find the magnitude of the component of the force that is parallel to the ramp.
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A 25-pound box is resting on a ramp that is inclined 8°. Rounding to the nearest tenth,
- Find the magnitude of the normal (perpendicular) component of the force.
- Find the magnitude of the component of the force that is parallel to the ramp.
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Find the magnitude of the horizontal and vertical components of a vector with magnitude 8 pounds pointed in a direction of 27° above the horizontal. Round to the nearest hundredth.
pounds,
pounds
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Find the magnitude of the horizontal and vertical components of the vector with magnitude 4 pounds pointed in a direction of 127° above the horizontal. Round to the nearest hundredth.
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Find the magnitude of the horizontal and vertical components of a vector with magnitude 5 pounds pointed in a direction of 55° above the horizontal. Round to the nearest hundredth.
pounds,
pounds
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Find the magnitude of the horizontal and vertical components of the vector with magnitude 1 pound pointed in a direction of 8° above the horizontal. Round to the nearest hundredth.
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Real-world applications
A woman leaves home and walks 3 miles west, then 2 miles southwest. How far from home is she, and in what direction must she walk to head directly home?
4.635 miles, 17.764° N of E
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A boat leaves the marina and sails 6 miles north, then 2 miles northeast. How far from the marina is the boat, and in what direction must it sail to head directly back to the marina?
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A man starts walking from home and walks 4 miles east, 2 miles southeast, 5 miles south, 4 miles southwest, and 2 miles east. How far has he walked? If he walked straight home, how far would he have to walk?
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A woman starts walking from home and walks 4 miles east, 7 miles southeast, 6 miles south, 5 miles southwest, and 3 miles east. How far has she walked? If she walked straight home, how far would she have to walk?
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A man starts walking from home and walks 3 miles at 20° north of west, then 5 miles at 10° west of south, then 4 miles at 15° north of east. If he walked straight home, how far would he have to the walk, and in what direction?
Distance: 2.868. Direction: 86.474° North of West, or 3.526° West of North
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Questions & Answers
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the Three stages of Auguste Comte
what are agents of socialization
definition of sociology of education
Nuhu
shared beliefs, values, and practices
AI-Robot
What are the two type of scientific method
what are the scientific method of sociology
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the process wherein people come to understand societal norms and expectations, to accept society's beliefs, and to be aware of societal values
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scientific method in doing research
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list and explain the terms that found in society
list and explain the terms that found in society
Mukhtar
what are the agents of socialization
Antonio
Family
Peer group
Institution
Abdulwajud
I mean the definition
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ways of perceived deviance indifferent society
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SAM
to bring development to the nation at large
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entails of consultative and consensus building from others
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World first Sociologist?
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What is evolutionary model
Evolution models refer to mathematical and computational representations of the processes involved in biological evolution. These models aim to simulate and understand how species change over time through mechanisms such as natural selection, genetic drift, and mutation. Evolutionary models can be u
faruk
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shared standards of acceptable behavior by the group or appropriate behavior in a particular institution or those behaviors that are acceptable in a society
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that is how i understood it
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examples of societal norms
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Discuss the characteristics of the research located within positivist and the interpretivist paradigm
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Source:
OpenStax, Precalculus. OpenStax CNX. Jan 19, 2016 Download for free at https://legacy.cnx.org/content/col11667/1.6
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