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I’m given a series of problems in which I need to find the vector equation of a line which pass through a given point and are parallel to another vector.

The first problem:

Find a parallel vector to b = 5i-j, and passes through the point with position vector a = 2i+3j

My working:

r = a + λb

= (2i+3j) + λ(5i-j)

= (2+5λ)i + (3-λ)j

From this point onwards I do not have the slightest clue on where to go next, or if what I have done is correct. Could somebody please tell me if what I am doing is correct or incorrect, and if so, the correct way to approach these pesky problems.

Thanks

Pavadrin

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# Homework Help: How to solve Parallel Vectors

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