To find the shortest distance and the vector equation of the line of shortest distance between the given lines, we will follow these steps:Step 1: Identify the given lines The two lines are represented as: 1. Line 1: \(\vec{r1}
With the help of unit vectors, we can determine direction and magnitude in 3-dimensional spaces. We also learnt about the shortest distance between the lines and perpendicular distance. Frequently asked questions Get answers to the most common queries related to the CBSE Class 11 Examination ...
First, we use the provided points to find a pair of vectors. {eq}\vec{QP} = \vec{P}-\vec{Q} = (2,\, 1,\, 5)-(-4,\, 2,\, 0) = \langle 6,\,-1,\,5... Learn more about this topic: Distance From a Point to a Line | For...
After presenting some background material and preliminary results, we consider the case where \(X\) is the set of shortest vectors of one of the exceptional lattices \(E_6\) , \(E_7\) , \(E_8\) , \(\Lambda _{{24}}\) (the Leech lattice) and determine for each: (i) the ...
At the ridiculous extremes, you could draw it with X = Y (a square, with the center of the cube an infinite distance away), or with X = Y/3 (squashed completely flat). You must have assumed something wrong about the angles, to get the wrong answer in your OP. Actually, we didn'...
distance, the embedding method uses a more effective distance approximation function, such as directly calculating the 𝑝p-norm between the embedding vectors or training the neural network to predict the distance according to the embedding vectors and the pre-calculated real shortest path distance. ...