Flashcards
Shortest Distance Problems
Cards in this deck (10)
- 1With these kinds of problems, what should we do to make it easier for us to visualize?Draw a diagram
- 2—The foot of the perpendicular
- 3What steps should we take to find the shortest distance from a point to a line?1. Draw diagram
2. Find point in terms of λ for where point touches line
3. Minus this from point in question
4. Find dot product of this and direction vector
5. Sub value of λ back into answer from 3
6. Find modulus - 4When we find the shortest distance between 2 parallel change, what is different?We use the starting point of one of the vector equations in place of the point given in the last situation
- 5What changes when we are finding the minimum distance between 2 lines?We have to create simultaneous equations, so use different parameter symbols and do the dot product with both lines
- 6For the skew lines l1 and l2, if A and B are points on the line, what are P and Q?The closest points on l1 and l2 (representing foot of perpendicular)
- 7What are the direction vectors of l1 and l2?l1 = AP
l2 = BQ - 8AP and BQ are both perpendicular to....PQ
- 9AP . PQ =0
- 10BQ . PQ =0