HGHD ve sell 4. Assigns numbers 10 and 20 to varaibles s x and y, then write R commands for the following i) store the result of multiplying x and y in a new variable z. ii) Creat a vector My Vec of the objects x, y and z. iii) Find the minimum, maximum, length, and variance of My Ver P

Q: For what values of b are the vectors and orthogonal?

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Q: 4. Given 3 points: A(2, 1, 1), B(2, 2, 2), and C(4, 2, 2), compute the normal vector for the…

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Q: For what values of h the vectors -3.72%3D linearly independent are

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Q: VF 1. Consider the following vectors: t =, u =, w =. a. Find the following linear combination of the…

A: For any vector u-> =<x,y> ,is the vector whose initial point is (0,0) and terminal point is…

Q: 2. 4 7 X•w Compute w • w, x•w, and using the vectors w=-1 and x = w•w - 5 3 w•w = (Simplify your…

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Q: 9. Given vectors u = [- 2,6.7] and v = [3.1.–4]. determine .

A: From the given problem:   u→=-2,6,7⇒-2i+6j+7kv→=3,1,-4⇒3i+1j-4k   So,   u→×v→=ijk-26731-4

Q: Find the sum of the following vectors: and =< ♦

A: Given vectors are  u=&lt;-4, -7&gt; and v=&lt;-3, 8&gt;

Q: 27. Jul 16,0 =

A: Given data÷ Vector u is given by u=ucosθi+usinθj Or  u=&lt;ucosθ,usinθ&gt;

Q: Find the vector v = PQ. %3D P = (2,3,4) Q = (2,5, 10) V =

A: The vector v is given by v=&lt;q1-p1,q2-p2,q3-p3&gt; therefore   if P=(2,3,4) and Q=(2,5,10) then

Q: 3. Let A be the vector (6, 7, 0, 9, 15), B be the vector (a, b, c, d, e), and C be the vector (-4,…

A: Answer:- Given, the vectors A  = (6, 7, 0, 9, 15), B = (a, b, c, d, e) and  C = (-4, -1, -2, 0, -15)…

Q: Let = ondu= a. Compute (ul. b. Compute +7. c. Compute 3u- 2 d. Compute e. Find o vector…

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Q: Find the cross product of the vectors ä = and b = .

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Q: Let u = - 2, 3 > amd = . a. Compute jul. b. Write 3 - 2u in component form. c. Compute a unit vector…

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Q: 11. Given đ = (2, x, –3) and b = (5,–10,y), for what values of x and y are the vectors collinear?

A: We have to find the values of x and y for which bothe the vectors are colinear

Q: 23. Find the angle between the vectors i = [-9,1, 3] and i = [0,2, – 5]. %3D

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Q: |Let j and ū = -4 Write j as the sum of two orthogonal vectors, 1 in 9 Span {u} and 72 orthogonal to…

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Q: {) 0 } A .8 For what values of a is the vector -3a in the span of -2

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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: Let u = and v = . Now, w = is a linear combination of i and v. That is, w = aju + azv. Determine…

A: Answer:

Q: Determine whether the vectors u = (-3,9,6) and v = parallel, (4, –12, –8) are orthogonal, or…

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Q: Consider each A and B vector, make each of the following below TRUE or FALSE, and give brief…

A: To prove: A+B→ &lt; A→OrA+B→2 &lt; A→2…

Q: 2. a. In each part express the vector as a linear combination of 2+x+4x², p₂ = 1 − x + 3x², and p3 =…

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Q: A weighted coin has a 0.664 probability of landing on heads. If you toss the coin 28 times, what is…

A: Given data P(head) = p = 0.664no. of trials (n) = 28x = no. of time head tossedP(x=X) = nCxpxqn-x…