Find the length of v.
Inital point of v = (1,-3,4)
Terminal point of v = (1,2,-2)
Please help. I am not sure how to start! Thank you.
To find the length of vector v, you can use the Euclidean distance formula.
The Euclidean distance formula between two points (x1, y1, z1) and (x2, y2, z2) is given by:
d = sqrt((x2 - x1)^2 + (y2 - y1)^2 + (z2 - z1)^2)
In this case, the initial point of vector v is (1, -3, 4) and the terminal point is (1, 2, -2).
Now, you can substitute these values into the Euclidean distance formula:
d = sqrt((1 - 1)^2 + (2 - (-3))^2 + (-2 - 4)^2)
Simplifying further:
d = sqrt(0^2 + 5^2 + (-6)^2)
d = sqrt(0 + 25 + 36)
d = sqrt(61)
Therefore, the length of v is sqrt(61).