ind ||u|| for the given vector. [2]

Q: 81. Given r = (-3, 4) and s = a. Find the product ||r|||s||. (9. – 12). b. Find r· s. c. Based on…

A: Given:r=-3,4 and s=9,-12Formula:u=u.u

Q: What geometric relationship must two vectors have in order for ||u + v|| = ||u|| + ||v|| ?

A: The expression ∥u+v∥denotes the norm of u+v, ∥u∥denotes the norm of u and ∥v∥denotes the norm of v.…

Q: Find the vector p given the relationship between A and x.

A: Step1: Let's break down the problem step by step.Given Matrices: We are given two matrices: 𝐴 and…

Q: Find the unit vector in the same direction as the vector u = [2, –1, –9]. Ex: 1.234 C Ex: 1.234 Ex:…

A: We will find the modulus (norm) of the vector and divide the vector by the norm to find the unit…

Q: [:] [] Find c so that the vectors and are parallel.

A: Find c so that the vectors c4 and 25  are parallel. Let u=c4 and v= 25 be two vectors. Two vectors…

Q: Let u and v be vectors in Rn. Show that 1 1 |||u + v||² − − ||u − v||² . - 4 u. V =

A: Given: u and v are vectors in Rn We are required to prove: u.v=14u+v2-14u-v2

Q: Find ||u|| for the given vector. u = [1, √3, √2, 0] Give a unit vector in the direction of u.

A: We will find the norm that is magnitude and unit vector just by definition

Q: Evaluate f z²dz where C is the contour |z| = 2-

A: We can directly use cauchy Goursat theorem to give the value of the given integral about given…

Q: Q2 (a) Let n E N and let ở, w e R". Show that if ở · w = 0, then || ở + w||2 = || ||² + ||w||². (b)…

A: This question can be solved using the concept of dot product of two vectors.

Q: Given x = (1.4, 5.8, 2.3, 8.1, 9.0)¹: Calculate the householder vector V

A:

Q: Q1. Find the Jordan nomal form of T-2 A =|0 -2 -2

A: A Jordan normal form is an upper triangular matrix of a particular form called a Jordan matrix. Such…

Q: Let v = ( 1, 2 ), Find a vector w with the same direction as v such that || w || = 7.

A: Let v=1,2 Then,  v=12+22=5 The unit vector in the direction of v is, v=vv=1,25=15,25

Q: -2 Let i -4 be a vector in R³. -2 Find the length of vector -3. || – 37|| -

A: Multiply the given vector with -3

Q: I need help on this question. Please follow the directions below

A: The objective of this question is to find a vector w that has a magnitude of 7 and is in the…

Q: 18 as a linear combination of = 8 Express the vector i and j =

A:

Q: Using index notation, prove the following identities among vectors A, B, C, and D: (a) (A x B). (B ×…

A:

Q: -2 Let v be the vector 1 |. The vector of length 6 in the same direction as v is 2 Select one: 4 a.…

A:

Q: a- Show that if v is any nonzero vector then is a unite vector . |||| b- If u = (3,4) , v= (3 ,-1)…

A: First assuming v in vector notation.

Q: M3. Which of the following expresses the fact that the vectors u and v have the same length? (a) ū -…

A: M3. The two vectors u and v have the same length if: (a)u→·v→=v→·u→

Q: Let å = . Find a unit vector in the direction of a

A: Givena→=⟨4,−3,−4⟩

Q: Find the Euclidean norm of the given vector. Hint: 7 = 49, 24? = 576 V = 24 ||v|| = Ex: 1

A: