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 Vectors in 3D concept. If you need more Vectors in 3D practice, you can also practice Vectors in 3D practice problems.