n+5 c) Let y= and u= Write y as sum of two orth ogon al vector s, one n+4 n-1 is Span (u) and one orthogonal to u. where n is last digit of your arid number. If 19-Arid-1258 then your arid number is take value of n=8.

Q: Let v1 vector=[−4  h] and v2 vector =[−10   20]   (check image for reference) Then span(v1…

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Q: Find the unit vector in the direction of <4,2>

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Q: 4. Express PQ-RQ+SR-PS+RS as a single vector.

A: Expression

Q: express vector as a product of its length and direction. 1/(3)^1/2 i + 1/(3)^1/2 j + 1/(3)^1/2 k

A: Let the given vector is: v=13i+13j+13k

Q: Hiwil show that_Viz 3i+6j_and_V=-i-zj have offosite direction.

A: We have to prove that vectors have opposite direction.

Q: 10. Write the number of the correct answer Number of vectors in a vector space is 1- any number…

A: Since a vector space cannot be empty, it must contain the additive identity, i.e. 0

Q: A = [-2,4,-2,-4,        2,-6,-3,1,        -3,8,2,-3,        0,2,5,3]  Find a non-zero vector R^4…

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Q: Describe the relationship between the point (10,13) and the vector

A: We have to describe the relationship between the point (10, 13)  and  vector  <10, 13>

Q: How do you know if 3 vectors span R^3? Is there any example?

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Q: What is the area of the parallelogram formed by the two vectors = (1,5) and = (-3,-2)?

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Q: Neighboring electronic health records. Let x1,...,xN be n-vectors that contain n features extracted…

A: Identifying the 10 nearest neighbors of a given Electronic Health Record (EHR) in a population of N…

Q: Find  vector z + vector y if vector z= and vector y= . graph

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Q: find the diJ tance betueen the vectors

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Q: Q4\ Find the vector if its magnitude equal √90 and its unit vector is 4i 5j 7k + √90 √90 √90 -

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Q: Determine the figene valves and Vector for 2 A=-1 2 -2

A: (A-λI)X=0 A= given matrix λ=constant I=identity matrix

Q: Express the vector 12 x+ÿ. = [15] as a linear combination of a = 2 1 and y= -17 -2

A: Given

Q: what if it was the same vector, but 5y^2j?

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Q: The normal vector of 2x + By - 16.7z = -8 is: ○ [2, 뮤, -16.7, 8) ① [호, 꽃, 16.7, -8] ① [올, 꽃, -16.7]…

A: We have given equation of a plane  92x+133y-16.7z=-8 Comparing this with the equation  lx+my+nz=d We…

Q: Write out the expressions a- Va in index notation for vector a

A: Let us consider a vectora→ = a1i^ +a2j^ +a3k^where a1 , a2, a3 are functions of (x1, x2 & x3)and…

Q: Suppose that u, v, w are vectors in R^36 such that u. u = 3 u. V = 0 u.w=0 V.V=9 if x is a vector in…

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Q: Which of the following sets of vectors spans R^2?  A. {(1, 1), (–2, –2)} B. {(1, 1), (1, 2)} C.…

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Q: Find u v. = (9, 2) v 3 (-8, 4) V: U V D

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Q: Please justify whether these statements are true of false. a. If u and v are vectors in R^3, then…

A: Objects with both magnitude and direction are called vectors. The vector's size is determined by the…

Q: Find a unit vector in the direction of

A: Given that,   vector = <6, 3, 2> = u¯ (Say)   Unit vector = u¯u = <6,3,2>62+32+22 =…

Q: 3) |x| = 7, y = 8, and|x - y = 10, determine | x + y. Hint: sketch out these 4 vectors on the same…

A: We know that the vector parallelogram rules  ||A+B||^2+||A-B||^2=2||A||^2+2||B||^2

Q: the following subset of Pz CTR). S=2x²+3x-1, x²+x-1,x²-3x -13. LET be Determine if S is lin, dep, +…

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Q: Find a unit vector in the direction of

A: Let us consider the given vector as,

Q: Suppose that u₁ and u2 are vectors with ||u₁|| = 2 and ||u2|| = 3. You are also given that u₁ · U₂ =…

A: Given that  and  are vectors such that .Given that  and  for .We need to find  for .We need to…

Magnitude

A vector is an element with both direction and magnitude. A vector is represented using an arrow, where the arrow represents the direction of the vector and its length is represented using the magnitude. The set of vectors in space is known as vector space. The vectors can be added, subtracted, multiplied, and divided in a vector space. The image below shows a vector AB.