Finding the equation of a line parallel to the given one.
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A) Find a vector equation for the line that passes through (1,-2,7) and is parallel to the line
x= 3+2t, y= -t, z= -1-t
B) Write a different vector equation for the line you found in part A...
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Solution Summary
The process of finding a vector equation of a line in the three-dimensional space is examined and illustrated.
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The vector equation of a line that passes through point (x_0, y_0, z_0) parallel to a vector v = <a,b,c> looks like
x = x_0 + a*t
y = y_0 + b*t
z = z_0 + c*t
Directional vectors for parallel lines are proportional. That is because proportional vectors point either ...
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