7.57 AM O 91 B/s i gondangsragen.com 4 SMAN 1 GONDANG SRAGEN E / KUIS WAKTU TERSISA 01 jam 32 menit 57 detik Soal No. 5 Diketahui ā = (3,2, k) dan vector 5 + (1,2, –1). Vector ā dan 5 saling tegak lurus, maka nilai k =... O 10 8.

Q: If ū and i are two vectors, prove the identity ld + 레? + |d - 비? = 2| + 2|미2

A: This question is based on vector multiplication.

Q: Give the component form of the vector represented by the directed line segment from (4, 5, 6) to (4,…

A: See this  solution in below

Q: u = (14, 17, 22) , v = (2,9, 2) Find the distance between the two vectors. V %3D %3D

A: Given vectors are u=14,17,22 and v=2,9,2. The distance between two vectors u and v can be obtained…

Q: For the vector a,b,c ∈ IR3 a+b+c=0 and ===1 then ?

A: We will first assume a=(a_1,a_2,a_3),b=(b_1,b_2,b_3) and c=(c_1,c_2,c_3).Now will will use…

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

A:

Q: التاريخ 5.1 1 1 If the vector [42] An with the straight Piecel the end point?

A:

Q: 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…

A:

Q: a/Find the length and diredtion of the vector 式ド、で Aュ2i+3k where や ノ

A: The given question is from vector and can be solved as shown in step2

Q: Which ONE vector is parallel to (4, 9, 16)? (a) (20, 0, 8) (b) (6, 27/2, 24) (c) (1/4, 1/9, 1/16)…

A: We will find which option is correct.

Q: If AT = ul v. A and if the vectors U and V satisfy Au 5u and Av = 7v, then True False

A:

Q: Briefly describe how co-ordinates can be stored for a simple vector data structure for i) points…

A:

Q: Given u = and v = find the angle between the vectors and и V

A: Given vector u→=<4,-1> and v→=<3,5> Formula to be used u→.v→=u→v→·cosθ

Q: onil s 2 S = {v1,V2} = 4 5 7 8. a. Explain why S is linearly independent but is not a basis for R³.…

A: A basis for a subspace S of Rn is a set of vectors in S that is linearly independent and is maximal…

Q: Sind unit vector Lor 3atb if a-2i4jtk ちのi-25-sk

A: First calculate the vector 3a + b and than devide it with its magnitude for unit vector.

Q: i) ii) Draw a vector diagram for the cyclist's trip. Find the distance covered by the cyclist. (Give…

A:

Q: and = Wnte Pas the sum of two orthogonal vectors, 2 in S panƐu} and orthogonal to .

A: Given that y→=51 and u→=36.It is required to write y→ as the sum of two orthogonal vectors, x1→ in…

Q: 1. Determine the dot product of the two vectors in the diagram.

A:

Q: If a = (4, 3, 1, – 2), ß =(-2, 1; 2, 3) tween a and ß. are two vectors in V(R), find the angle be-

A:

Q: 3) What is the rank of the set of vectors A1 , A2 and Az given by 25 5 A2 = l12] 64 8 %3D [144]

A: The rank of a matrix is the number of nonzero rows in the reduced matrix.

Q: 5. Consider a vector va Could we write this equivalently as va

A:

Q: 5. Suppose that a, b and care vectors such that |a| = 2, |6| = 1, || = 5, a·b = 0, a. c = 3 and b c…

A:

Q: Hew.u, a-Vecter S unit,tengthinthe direction_ef_the

A:

Q: 28. Prove that if A and B are any nonzero vectors and C- BIA + JAB, then the angle between A and C…

A:

Q: 10 - 5 Let A = 0 4 -6 and b= - 10 Denote the columns of A by a,, a2, a3, and let W = Span (a,, a2,…

A: Given :-  Let A = 10-504-6-284    and   b = 3-10-32.  Denote the columns of A by a1 , a2 , a3. Let W…

Q: 20) Guien vectors ū =, find: a)-3Ù=< %3D

A:

Q: A vector v is defined with initial point P = (2, -6) and terminal point Q = (-3, -2) a)  Graph the…

A: Given  A vector v is defined with initial point P = (2, -6)  terminal point Q = (-3, -2)

Q: 10. Determine whether the given vectors are in span S = G -CHEED (i a) b)

A:

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, +…

A:

Q: For the vector a,b,c ∈ IR3 a+b+c=0 and ===1 then ?

A: Since we have given a,b and c are in R^3 so let a=(a_1,a_2,a_3) b=(b_1,b_2,b_3) and  c=(c_1,c_2,c_3)…

Q: 6. What are the advantages and disadvantages of algebraic vectors compared to geometric vectors?

A: Explanation: