Find the best approximation to z by vectors of the form c,vi + C2V2. 2 - 2 V2 1 4 3 2 The best approximation to z is (Simplify your answer.)

Q: 7. What is the cross product (Ax B) of the given vectors below? A = -4i + 7j B = 3i

A: Answer of mathematics: Given: log3x2=log3(7x-10) Since base of log are same therefore: x2=7x-10…

Q: a) Given the vectors in M22 . 1 1 2 3 31 22 1 2 21 Show that they are linearly independent. b) Find…

A:

Q: Find the best approximation to z by vectors of the form c₁V₁ + C₂V₂. Enter the corresponding…

A:

Q: Find the sum of the given vectors. a = (1, 2, -1), b= (0, o, 6) a +b =

A:

Q: Find all values of h so that the set of vectors 4 forms a basis for R3? Justify your answer.

A:

Q: Find the best approximation to z by vectors of the form c,v, + C2V2. 3 1 - 6 2 - 1 V2 = - 3 3 1 The…

A: Solution

Q: Find the best approximation to z by vectors of the form c, v, + C2 V2- 3 3 1 - 5 1 - 2 V2 = 4 - 2 3…

A: To Find the best approximation to z by vectors of the form c1v1+c2v2.

Q: Which of the following vectors are NOT linear combinations of 2 and 5 5. 5 5. 5 5

A:

Q: Find the magnitude R and direction 0 of the resultant vectors. 7.0N 5.0N 5.0N 6.0N 2.5N 80 20 30 10…

A: if you find my answer helpful please put thumbs up. thank you. the required solution is given below…

Q: The vector result of (ì − 2j +3k) · (−2ī + 2j − 2k) is a. -i + 7j b. -i+j-k d. j+7k e. -i+7k c.…

A:

Q: 2 x=| 2 as the linear combination of the vectors u 1 Write your answer in the form x=av+bv+cw for…

A: Topic:- vector algebra

Q: 5. u = Write the linear combination of standard vectors i and j.

A:

Q: 2 Let a = -1 | and b = 1 | be two vectors 1 What is |al2|b|2 |a · b[? ?

A: Let us consider the vector v=x1,x2,....,xn then the magnitude of the vector is obtained as…

Q: 3) Let å = 2ỉ +j,b = 5ỉ – 4j and c = i+j are vectors in 2D, then simplify å + b + 3č

A:

Q: For which value of k the two vectors u=(3,3.k) and v= (-4,8,1) are orthogonal? * k=12 O None of…

A: Introduction: We know that two vectors u=(x,y,z) and v=(a,b,c) are orthogonal if and only if, u·v=0

Q: 2) Show that if u and v are orthogonal unit vectors in R*, then. a) -4=7 b) The vectors a+v and…

A: The set of vectors u1,u2,…,uk of ℝn is said to be orthogonal unit vectors of ℝn if the inner product…

Q: 4. Given vectors: ū=(4, 9), v = (-8, 15) and w=(2, 10) b) Write ū as a linear combination of and w.

A:

Q: 2. (a) (b) (c) Determine if the vectors are linearly independent. Justify your answer. and HNO 8…

A: We use definition of linearly independent vectors.

Q: 4. Given vectors: =(4,9), v = (-8, 15) and w=(2, 10) a) Show that and w can span R².

A:

Q: Find the value of k for which the vectors -4] -5 and -5 k are orthogonal. k =

A: Let the two vectors be- a →=-20-51        and  b→= -4-50k It is given that both the vectors are…

Q: Consider the vectors A= (4, -2, 2), B =-(-2,3,0), and C= (0, 2, 1). 1. Find the following. (a) B- A…

A:

Q: vectors are also lincarly independent: Wi = a14 + +a, W2 = d1 + + aa am +. +a

A:

Q: Q6:- A/ Show that the vectors A. (BxC) B.(CxÃ)=C.(AxB), if the vectors A= 31-j+2k B=21+j-k C= i-…

A:

Q: . Which of the following is an orthogonal pair of vectors? A. (1, 0, 1) and (1,1,0) B. (1, 1, 0) and…

A: The vectors a and b are said to be orthogonal vectors if their dot product is 0.

Q: Find 2?, −3?, ? + ?, and 3? − 4? for the given vectors ? and ?. ? = (−2, 4) , ? = (4, −2) 2u=____…

A:

Q: Which of the following vectors in R4 has the largest mangnitude? A. (4,0,0,-1) B. (0, -3,3,0) C.…

A:

Q: Consider the vectors A =4ax+2kaytaz and B = ax+4ay-32az what value of k the two vectors A and B will…

A:

Q: (2) Determine if the vectors are linear independent or linear dependent. Justify your answer. (a)…

A:

Q: Refer to the vectors given below. -5 4 u1 = , U6 5 , u7 U2 Uz = U4 U5 = -1 4 4 -1 -4 Normalize the…

A: Normalizing a vector means finding a vector in the direction of the same vector with unit magnitude.…

Q: Find the best approximation to z by vectors of the form c, v, + C2V2 4 -7 1 1 V2 = 2 z= 3 [-1] 4 1…

A: To find  The best approximation to Z by the vectors of the form c1v1+c2v2.

Q: 2. Let a, b, c, and d be algebraic vectors in R3, For parts (a) and (b) below, state which theorems…

A: The dot product of the two vectors A→ and B→ is given by the following: A→·B→=||A→||·||B→||·cos θ…

Q: Given two vectors e1=(1, 0, 0)T and e3=(0, 0, 1)T in the 3D space, figure out  a) e1 + e3​

A: Given e1=100 and e3=001 To find e1+e3

Q: Let vi = 2 v2 , V3 = -3 3 Does the set of vectors {v, ,v2, v3} span R3 ? Give reason(s) for your…

A:

Q: Find the best approximation to z by vectors of the form C1V1+C2V2 2 5 4 z= -2 V2= -1 2 a. (15/21, 0,…

A:

Q: A. Find the values of a are orthogonal . such that vectors and

A: Since you have asked multiple questions in single request.so we will answering only first question.

Q: Find the best approximation to z by vectors of the form c, v, + C, V2. 4 2 -5 1 1 z= 2 3 -1 The best…

A:

Q: Given the vectors 1 1 0 0 2 3 1 2 3 in R3. Given vectors are linearly independent. Select one: O…

A:

Q: 2 2. u = 1 Ug = u4 -2 Write v as the sum of two vectors, one in v = -3 3 Span {u; } and the other in…

A:

Q: 1. Given the vectors à = (-1, 1, 1), b = (2, 1, –3), and ở = (5, 1, –-7), calculate the value of…

A: Note:- according to the company policy we can attempt only three subparts of a question so please…

Q: If A= (3/2) i –(½) j + k and B= i+j+2k, what is the value of A x B? Are the vectors orthogonal? O…

A:

Q: Which of the following vectors form an orthogona EBA • BBR [0] 31 [0 a) b) -2 3 1 [2 [-2] c) 12 d)…

A:

Q: Find the best approximation to z by vectors of the form c, v1 + C2V2. 3 3 6 15 - 1 V2= - 1 z= - 3…

A:

Q: Find the best approximation to z by vectors of the form c, v, + C2v2. 2 4 2 V2 Z= 2 The best…

A:

Q: u = 3i – 4 j – 2k v = 2i+4k find u•v 13) (Section 9.5/9.6) Given vectors Answer

A: We have to solve

Q: Find the best approximation to z by vectors of the form c,v1 + C2V2. 2 1 - 5 1 - 1 3 - 3 2 1 1 The…

A:

Q: 5 5 5 0 4 4 0 0 4 Then for which column vector b, the equation Ax = bhas a unique solution? Select…

A:

Q: Find the best approximation to z by vectors of the form c,v, + C2V2. 3 3 6 1 V2 = 1 V1 = - 2 4 3 - 2…

A:

Q: Find the best approximation to z by vectors of the form c,v1 + C2V2. 2 2 6 - 2 V1 = V2 - 1 1 4 2 The…

A:

Q: Consider the following vectors: -3 4 4 4 1 , v = 1 , w = 2 |, and b = -4 u = 3 3 When b is expressed…

A:

Q: السؤال 9 f AxB=0, and A and B are not null vectors, then A and B are parallel ylgn O İhi

A: True