SOLUTION: Please help me solve this. If the vector v has initial point P, what is the terminal point? v = <25, -5, 19> P(-6, 4, 2)

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Question 1206878: Please help me solve this.
If the vector v has initial point P, what is the terminal point?
v = <25, -5, 19> P(-6, 4, 2)

Answer by math_tutor2020(3817)   (Show Source): You can put this solution on YOUR website!

Answer: (19, -1, 21)


Explanation
The x coordinate of point P is x = -6
The x coordinate of vector v is x = 25
Add those together to get 19.
In other words we started at -6 on the x number line, moved 25 units to the right, to arrive at 19 on the number line.
The "19" is the x coordinate of the final answer.

The same idea is applied to the y coordinates as well.
Start at y = 4. Move down 5 units to arrive at y = -1.
It might help to draw out a vertical number line.
The "-1" is the y coordinate of the final answer.

Same idea for the z coordinates.
Start at z = 2.
Move up 19 to arrive at z = 21.
The "21" is the z coordinate of the final answer.

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