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livestrong136 livestrong136
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12 years ago
1.   Determine vector, parametric and, if possible, symmetric equations for the line through the point (2, 1, 3) with direction vector m? = (4, 2, 5).
(x, y, z) = (2, 1, 3) + t(4, 2, 5)       
                                      
               x = 2 + 4t       x-2/4 = y-1/2 = z-3/5 = t
               y = 1 + 2t   
               z = 3 + 5t

2. Determine vector and parametric equations for the z-axis.

# 1 IS ALREADY DONE.. PLEASE ANSWER #2. I JUST PUT ONE BECAUSE I AM SO CONFUSED WITH # 2, IDK HOW TO DO IT OR I DIDNT KNOW IF ITS SOMEHOW CONNECTED TO NUMBER # 1. CAN SOMEONE DO THIS ASAP. THNX
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livestrong136 Author
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#1
12 years ago
Just so everyone is clear. The z-axis is actually a line in space.  So you need to write the equation (both vector and parametric) of this line. Also DONT WORRY ABOUT QUESTION 1, just do question 2. thnx
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#2
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12 years ago
x(t) = 0; y(t) = 0; z(t) = t

Is that what you mean?
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duddyduddy
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12 years ago
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