# Vectors and coordinates

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

## 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 x-axis 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 x-axis is the longitude of the Greenwich meridian, and the object is at **a**_{x} and 2**a**_{y}, then RA equals?

**a**_{x} and 2**a**_{y} and 3**a**_{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 x-axis is the longitude of the Greenwich meridian, and the object is at 3**a**_{x} and 4**a**_{y}, then RA equals?

3**a**_{x} and 4**a**_{y} and 5**a**_{z}, then the declination is?

The value of **a** is given by?

## Problem 4 edit

**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 2**a**_{y} equals 3**a**_{z}

If the x-axis is the longitude of the Greenwich meridian, and the object is at 3**a**_{x} and 4**a**_{y}, then RA equals?

3**a**_{x} and 4**a**_{y} and 5**a**_{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 2**a**_{y} equals 3**a**_{z}:

If the x-axis is the longitude of the Greenwich meridian, and the object is at a = 3**a**_{x} and b = 4**a**_{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 3**a**_{y} equal 4**a**_{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

- Angular momentum and energy
- Column densities
- Cosmic circuits
- Energy phantoms
- Furlongs per fortnight
- Planck's equation
- Radiation astronomy/Problem set
- Radiation dosage
- Radiation mathematics/Problem set
- Spectrographs
- Star jumping
- Synchrotron radiation problem set
- Telescopes and cameras
- Unknown coordinate systems
- Unusual units
- Vectors and coordinates

## External links edit

- International Astronomical Union
- NASA/IPAC Extragalactic Database - NED
- NASA's National Space Science Data Center
- Office of Scientific & Technical Information
- The SAO/NASA Astrophysics Data System
- Scirus for scientific information only advanced search
- SDSS Quick Look tool: SkyServer
- SIMBAD Astronomical Database
- SIMBAD Web interface, Harvard alternate
- Spacecraft Query at NASA
- Universal coordinate converter

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