O Apply the Gram- Schoidt r tho. matiantion proce to trame fwm the givn bais for R into o inner predhet themammal basis. Use Hhe Euilidean for RM and un Hhe vartor in the order in which they an viven. B={(,o,5), (0,,), (, ,} %3D I

Q: 4.) Verify the Expansion of the triple vector product A x (B x ) = B⋅ (A·C) - C (A. B) by direct…

A:

Q: How many Potenhally defferent tensors of ander two can be defined by faking the ouer Product of sö…

A: The outer product of two tensors results a tensor with the order that equals the sum of the co…

Q: Find the distance d(u, v) between u and v in the given Fig.

A: To Determine:  Find the distance d(u, v) between u and v . Given: we have u=-12,v=31 Explanation: we…

Q: Find the (a) dot product A B and cross product B x -A if A = 12 in directed at 33' and B = 16 in,…

A: Here we use the dot and cross products formula in terms of length and angel.

Q: The Para lledogram has vetices at A (2, -1, 4) B(1,0,-1) C(1,2,3) and D. find The coo rdin atates of…

A:

Q: Find Vw. w = 8 ln √4x²+ 6y² + z² NOTE: Give your answer in unit vector notation; that is, in terms…

A:

Q: 3 8. Let 7 = and 7 %3D 2 (a) Normalize each of 7, b and 7 to the unit vector. (b) Find proj . (c)…

A: The normalized vector of a vector v→ is the same direction but unit length and it is denoted by v^…

Q: %3D Given ü = 7ỉ – 3+k and w = -2i +5j – 6k compute proj „ .

A:

Q: Find a unit vector in the direction of u = (3, 4, 5).

A: Given vector, u=3, 4, 5

Q: Name the preimage of R'. T' T V' R' R Your answer: O T O V O R

A:

Q: 8. 3) Let Ax b where A =6 5,b 28. Is the vector b in the column l14] [2 12 4. space of A? Justify…

A: The solution is given as

Q: Use Pitman’s formula to compute the MREE of the location parameter in the uniform family U(θ, 1 +θ)…

A: In the given problem, we are dealing with a random sample (X1, X2,..., Xn) where each Xi follows an…

Q: find the area of triangle between V and W YA (1, 1, 1) V W

A:

Q: HW1 2) Find the curl of F. VxF=

A:

Q: 4.18. Given vectors u = 3j – - 6k and v = 6i – 4j – 2k, find the dot product of u and v.

A:

Q: tompule the Hwx M the vuter fild

A:

Q: Find the projection of v

A: Here v→=2i^-2j^    and w→=-3i^+j^

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: 2.53 Prove the following identities when A and B are vectors and S, R, and T are second- order…

A: Consider the provided question, (b) prove that trST=trS Basic definition and trace rule, S=Sij…

Q: if A = {1,2,3 } , B. {4,5},U={ 1,2,3, 4,5} %3D %3D find: A -B = AUB = A OB = Aʻ -B' = PCB) = %3D %3D…

A:

Q: Find the value oF Ahe detevminant of lusing the tollouoing me tkods! Pivot al Elemgol mettod 2 2 3 2…

A: A=223233445352 we use the pivots method  =223200-0.515352R2→R2-1.5R1…

Q: Let X1, ..., Xn be IID from Uniform(θ1, θ2). Use the method of moments to estimate θ1 and θ2, the…

A:

Q: 1. Find the area of the parallelogram spanned by the vectors a = (1,0,1), b=(-2,1,2) A. √5 B. 3 C.…

A:

Q: P. let f-uti and fcz)=z= Prove that U and v Stadify lasplare equation

A: A function f(x,y) satisfies Laplace equation if fxx+fyy=0 Given function is f(z)=z3 Substitute…

Q: Evaluate 1 2. tht Htte tan e(:-+) 2 , у акуся, whve с is the contour given by

A:

Q: Find a Tehmal vector cnd deraive a fersame trie G-a)²+(#+1}*= 25 ?

A: To find a normal vector and derive parametric representation of: x−22+y+12=25

Q: Calculate the dot product of x = (3, -2, 0, 3) E R and y = (1, 2, 3, 4) ER4.

A: The dot product of two vectors x=(a1,a2,a3,a4)  and  y=(b1,b2,b3,b4)in 4th-dimensional space is: x.y…

Q: 1. 0, dij ss, Otherwise. Tij

A: The given parameter is:

Q: D. 12 в. 12- В. 24 48 K R JK and RS are parallel. Whi following statements is true JR KS A. QR С. QJ…

A: Solution

Q: Determine all unit vectors that possess an angle of T/3 with the positive segment of the x-axis and…

A: The angle between unit vector and the positive x-axis is ​, and the angle between unit vector and…

Q: Find the area of the parallelogram that has the vectors u = (5,-1, 4) and v = (2,-3, 1) as adjacent…

A: