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Jbreezy
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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 + λb
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 .