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.
mag v= sqrt((1-1)^2+(2+3)^2 + (-2-4)^2)
You have been using this equation since John Paul Jones was a midshipman. It is now in three dimensions.
5/2x
To find the length of vector v, you can use the distance formula, which is derived from the Pythagorean theorem. The distance formula between two points (x1, y1, z1) and (x2, y2, z2) is given by:
d = √((x2 - x1)^2 + (y2 - y1)^2 + (z2 - z1)^2)
In this case, the initial point of the vector is (1, -3, 4) and the terminal point is (1, 2, -2). So, you can substitute these values into the distance formula:
d = √((1 - 1)^2 + (2 - (-3))^2 + (-2 - 4)^2)
Simplifying further:
d = √(0^2 + 5^2 + (-6)^2)
d = √(0 + 25 + 36)
d = √61
Therefore, the length of vector v is √61.