Problem: Is the line through (4,6,3) and (2,0, -1) parallel to the line through (6,22,12) and (1,7,2)?

FREE Expert Solution

The equation of a line with the direction vector d = (l,m,n) passing through a point (x1,y1,z1) is:

x-x1L=y-y1m=z-z1n

For the first line:

x-44-2=y-66-0=z-33-(-1)x-42=y-66=z-34x-41=y-63=z-32

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Problem Details

Is the line through (4,6,3) and (2,0, -1) parallel to the line through (6,22,12) and (1,7,2)?

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What scientific concept do you need to know in order to solve this problem?

Our tutors have indicated that to solve this problem you will need to apply the Vector Composition & Decomposition concept. If you need more Vector Composition & Decomposition practice, you can also practice Vector Composition & Decomposition practice problems.