Vectors and coordinates
This problem set is devoted to a variety of vector situations and coordinates for evaluation.
ContentsEvaluation

Problem 1[edit]
For standard basis, or unit, vectors (i, j, k) and vector components of a (a_{x}, a_{y}, a_{z}), what are the right ascension, declination, and value of a:
If the xaxis is the longitude of the Greenwich meridian, and a_{x} equals a_{y}, then RA equals?
If a_{x} equals a_{y} equals a_{z}, then the declination is?
The value of a is given by?
Problem 2[edit]
For standard basis, or unit, vectors (i, j, k) and vector components of a (a_{x}, a_{y}, a_{z}), what are the right ascension, declination, and value of a:
for a_{x} equals a_{y} equals a_{z}
If the xaxis is the longitude of the Greenwich meridian, and the object is at a_{x} and 2a_{y}, then RA equals?
a_{x} and 2a_{y} and 3a_{z}, then the declination is?
The value of a is given by?
Problem 3[edit]
For standard basis, or unit, vectors (i, j, k) and vector components of a (a_{x}, a_{y}, a_{z}), what are the right ascension, declination, and value of a:
for a_{x} equals a_{y} equals a_{z}
If the xaxis is the longitude of the Greenwich meridian, and the object is at 3a_{x} and 4a_{y}, then RA equals?
3a_{x} and 4a_{y} and 5a_{z}, then the declination is?
The value of a is given by?
Problem 4[edit]
For standard basis, or unit, vectors (i, j, k) and vector components of a (a_{x}, a_{y}, a_{z}), what are the right ascension, declination, and value of a:
for a_{x} equals 2a_{y} equals 3a_{z}
If the xaxis is the longitude of the Greenwich meridian, and the object is at 3a_{x} and 4a_{y}, then RA equals?
3a_{x} and 4a_{y} and 5a_{z}, then the declination is?
The value of a is given by?
Problem 5[edit]
An object has RA 10^{h} 10^{m} 10^{s} Dec 20° 20' 20" and r = 23 lyrs.
What are a_{x}, a_{y}, and a_{z}?
What are ℓ and b?
What are the ecliptic longitude and latitude?
What are J1855 and B1855?
What are J2100 and B2100?
Problem 6[edit]
An object has coordinates: 125.678 85.678 and r = 110 pc.
What are RA and Dec?
What are a_{x}, a_{y}, and a_{z}?
What are ℓ and b?
What are the ecliptic longitude and latitude?
What are J1800 and B1800?
What are J2075 and B2075?
Problem 7[edit]
For standard basis, or unit, vectors (i, j, k) and vector components of a (a_{x}, a_{y}, a_{z}), for a_{x} equals 2a_{y} equals 3a_{z}:
If the xaxis is the longitude of the Greenwich meridian, and the object is at a = 3a_{x} and b = 4a_{y}, then what is
Problem 8[edit]
Standard basis, or unit, vectors are (i, j, k) for vector components of a (a_{x}, a_{y}, a_{z}).
Let a_{x} equal 3a_{y} equal 4a_{z}.
What are
If a = [5a_x, 6a_y, 7a_z] and b = [8a_x, 9a_y, 10a_z], then
Hypotheses[edit]
 The square root of negative one is not needed in vector space.
See also[edit]
External links[edit]
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 International Astronomical Union
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 NASA/IPAC Extragalactic Database  NED
 NASA's National Space Science Data Center
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 SDSS Quick Look tool: SkyServer
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 Spacecraft Query at NASA.
 SpringerLink
 Taylor & Francis Online
 Universal coordinate converter
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