Answer: (-1,1,-3) + 7 x t x (3,-2,-8)/
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=
Magnitude=
So unit vector= (3, -2, -8)/
Now the equation is as:
P + 7 x t x unit vector = (-1,1,-3) + 7 x t x (3,-2,-8)/
For this case we have that by definition, the equation of a line in the slope-intersection form is given by:
Where:
m: Is the slope
b: Is the cut-off point with the y axis
According to the data of the statement we have to:
Then, the equation is of the form:
We substitute the point and find "b":
Thus, the equation is of the form:
To graph we substitute the points on the coordinate axis:
For :
For :
Answer:
See attached image
