Answer: (-1,1,-3) + 7 x t x (3,-2,-8)/[tex]\sqrt{77} \\[/tex]
Step-by-step explanation:
The parametric vector equation for the position of particle is given as:
We have P= (-1,1-3)
Q= (-4,4,5)
So PQ vector= (-1+4,1-3, -3-5)
PQ = (3,-2,-8)
Magnitude of this vector= [tex]\sqrt{(3)^2+(-2)^2+(-8)^2}[/tex]
Magnitude= [tex]\sqrt{77} \\[/tex]
So unit vector= (3, -2, -8)/[tex]\sqrt{77} \\[/tex]
Now the equation is as:
P + 7 x t x unit vector = (-1,1,-3) + 7 x t x (3,-2,-8)/[tex]\sqrt{77} \\[/tex]
