Given a vector p= (0,1) e R², numerically state a dataset {x}_1 such that li=1 x* = mịn ||x – p||2 = min Z(x®, p) = x i.e. the closest neighbour of p in Euclidean distance is the closest neighbour of p in angle.

Q: Let L be the line passing through the point P(1, 1, 1) with direction vector d=[2, 1, 0]T. Find the…

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Q: Let L, be the line passing through the point P=(8, -6, 0) with direction vector a=-3, 3, 1]", and…

A: Given, L1 is the line passing through the point P1=8,-6,0 with the direction vector d1→=-3,3,1T. So,…

Q: 7.) for which value(s) of k are the following vectors linearly independent? u =

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Q: For what value of m, the vector (m,3,1) a  linear combination of e\index{1}=(3,2,1) and…

A: We have to find the value of 'm' such that  is a linear combination of Assume

Q: Let L be the line passing through the point P(-1, -3, -2) with direction vector d=[-1, 1, 1]T. Find…

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Q: Use the definition to determine whether or not =(3,5,-2)'. =(-2,1,4)', and =(1,3,7) are linearly…

A: We have to check whether given set of vector is linearly independent or dependent.

Q: Determine the shortest distance from the point (3, 4, 5) to the line through the origin parallel to…

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Q: Let l be a straight line that passes through the origin and is parallel to the vectors…

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Q: Determine the values of y such that D(9,3,-2), E(3,4,7) and F(21,y,-20) are collinear

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Q: let l={(x,y) 7x+4y=1} be a line in Cartesian model for Euclidean geometry. find a coordinate…

A: Given: I=x, y 7x+4y=1 represents a line in Cartesian model.   To find: A coordinate function using…

Q: Find a parametric representation of a straight line passing through (1,2,1) in the direction of…

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Q: Use the function to find the image of v and the preimage of w. T(V,, V2, V3) = (4v, - v,, 4v, +…

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Q: Use the function to find the image of v and the preimage of w. T(V1, V2, V3) = (4v2 – V1, 4V1 +…

A: Given  T(v1,v2,v3) = (4v2-v1,4v1+5v2)Image of v is given by T(1,-2,-4) = (-9,-6) hence (a). the…

Q: Find the exact distance between the skew lines = (-3,-2,4) + t(1,-1,1) and p = (1,3,0) + t(-2,-3,3)

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Q: Assume m₁ = [4., 1.5] and m₂ = [1.5, 0.5] represent the mean vectors of pattern class 1 and class 2,…

A: To find the decision boundary between two classes, we need to find the equation of the line that…

Q: 27. Determine the area of the parallelogram formed by the vectors u=[3,-2,5] and v=[-1,4,2].

A: Step 1:

Q: ? (2,3), (0,0) }

A: Let S=2, 3, 0, 0. We need to find whether the set S spans a line or all of ℝ2.

Q: Express the Vector x as a linear combination of the U's U₁ Gl , 02 [1] ·16

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Q: 1 Consider the line through the vector a = Find the project of b = (1,2,3) onto this line.

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Q: Use the function to find the image of v and the preimage of w. T(V1, V2) = V2, V1 + V2, 2v, - v2 2…

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Q: 2) Consider a set of points {(-2,-18), (-1, -7), (0, -2), (1, -3), (2, -10)}. a) The least squares…

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