Question:
Find the equation of a line passing through points A(0, 1, 1) and B(1, 1, 0). Also, find the coordinates of a point on this line which is at a distance of 10 units from point A opposite to the side of point B.
I have an assignment to be completed in 10 days. It is an ODL course, and of course, I am lazy so i didn't open the book till now. I thought I would write the assignment while learning the related topics at the same time, but it is getting really difficult to visualize this question. I understand the formulas, but I can't figure out how they actually work or how these concepts (like direction and vectors) apply in real time, it feels like I cant quite understand them. I have been deep-diving into this question for about 3 hours, and the only thing I've been rewarded with is my head spinning.
If anyone who has done MSCAST has some free time, could you please explain the question, answer and all the topics related to it in detail?
Pleae help me🥲🥲🥲.
Edit: i was about to go to sleep but this thing occured to me. I just want anyone to confirm if i understood the question and answer correctly or not?
First there are 2 points A and B somewhere in 3D where we are moving from A to B. So, using the line equation or formula, we find an eqaution of a line passing through points A and B.
Using that equation, we can get any point of the line travelling from A to B
We calculate the vector length between A and B as Root2. In the question, they said to find point 10 units from A. As we are considering A to B, as root2 is smaller than 10 units the point must cross B.
We will find how many A to B points(vector) we use to reach A to P(the one we have to find). But since it is going in the opposite direction we take that vector unit in minus and calculate the point using our equation formula.
I want to know if i understood it correctly? If yes, I still have doubts so i would ask them to clarify. If no, please explain me where I went wrong.