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## Homework Statement

The position vectors of two points A,B of a line are a = < 2 ,1 ,7> : b = < 1 , 4 , -1 >

Find the parametric vector equation for any point on the line AB using λ as the parameter.

## Homework Equations

In general x = a + λ

**b**

Where

**b**is the unit vector of b.

## The Attempt at a Solution

**b**= b/ |b|

So

**b**= <1/ 3√2,4/ 3√2,-1/ 3√2>

so we have

x = < 2 , 1, 7> + λ<1/ 3√2,4/ 3√2,-1/ 3√2>

This correct? Please do not give me the answer but I prefer a hint. Thank you .