e Let A- 12-3 For which vectors b 2 -34 6 does the equation Ax=b have a solutien?

Q: What should the value of y be for the given vectors å = 3î + 2ĵ + 2k , b = î - ĵ +k and ĉ = 2î + 2yj…

A: Given that three vectors are in the same plane or we can say the vectors are coplanar. If three…

Q: H.w: Determine if the two vectors are orthogonal or parallel or not? A= 6i+6k 1- and B=-2i+2j+2k 2-…

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Q: Q.1 If a = 3i - j-4k, b= -2i + 4j- 3k and c =i+ 2j-k. %3D Find unit vector parallel to 3 a -2 b +4…

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Q: 03. If a=(3,-1,1), for what value of c is the vector b-(3,c,-1) perpendicular to a?

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Q: Q.1 If a = 3i - j-4k, b= -2i + 4j- 3k and c =i+ 2j-k. - Find unit vector parallel to 3 a -2 b +4 c .

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Construct the vector 0.7 d+0.8 c having initial point P. (Use the tools provided to move and scale…

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Q: Find the value(s) of h for which the vectors are linearly dependent. Justify your answer.

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Q: Let E = 5x°a – 15x²yay , and find : (a) - the equation of the streamline that passes through P(4, 2,…

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Q: The surface of a hill is modeled by z = 100 – 3x? – 4y². When a group of hikers reach the point (1,…

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Q: 16. Which is the magnitude of the vector with an initial point (-3, -2) and terminal point (5, -8)?…

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Q: -9 Vị V2 -2 -8 13 ? -32 Which weights should be used for b = a1vị + a2V2 to obtain the vector b = a1…

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Q: Let a E R" be fixed. Suppose that vectors x, y E R" are related by the equation a = x+ (x.y)y. a)…

A: Solutions

Q: Suppose we have three distinct unit vectors a, b, andc which satisfy the following equations: (i)…

A: b × c ≠ 0b × c = bc sin θ a^nθ could be anything but θ ≠0 that means b and c are not coplanner…

Q: a b c d e Which of the following vector is perpendicular to the given 2 vectors? nd -L1,-3>…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: P1. 26. Given vectors A, B, and C, evaluate 3|A|C - 2B if Ax - 7 Ay - 3 Az --3 Bx - 1 By - 2 Bz - 3…

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Q: 8. If you know that the vectors a = 4i-j + 2k and b =4i-2j-5k, then the lengthvector %3D a - 2b = A.…

A: To find: The length of the vector a→-2b→. Given: The vectors are a→=4i-j+2k and b→=4i-2j-5k. Concept…

Q: What are the values of h for which the vectors ar linearly dependent? HEB -4 7. h

A: Given that:  Let u=2-41, v=-67-3 and w=8h4

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Q: L A Moving to another question will save this response. Question 6 For what value of t , if any, is…

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Q: Find the point functions t= d6i +(e-6); +(-€)4 and 40=(2+2-/it (5- €);t (1-56)4 Intersect. at which…

A: Given: Two vector functions as r1t=2ti+t2-6j+-13t3k and r2t=2+2ti+5-tj+1-5tk, To find: The…

Q: Q2/ A) Knowing that A = 2i+mj+k & B¯ =5i + j+4k are perpendicular vectors. Find the value of m then…

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Q: -1 Let a = -1 and b = 1 be two vectors. What is a2b2-la b2?

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Q: Find values of h for which the vectors are linearly dependent. Justify your answer. 3 7.

A: Let v1=1-14, v2=3-57, v3=-15h

Q: A) Knowing that A¨ = 2i+mj+k & B¯ =5i + j+4k value of m then find A x B are perpendicular vectors.…

A: Given that:     A=2i+mj+kB=5i+j+4k

Q: D. 4b A 12a Diagram 1 a) Express each of the following vectors in terms of a and b. i) DB ii) AE

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Q: d) Determine if the vectors t² + 2, 2t² +t+3, 3t² + 4t +5 span P₂. 1 2 0 1 3 b) Determine if the…

A: A set of vectors S is called a basis of  a set P if  (i) the set S is linearly independent (ii) the…

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

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Q: Q.2 A= i-3j - 2k B = 31 +5j +7K Find the fallowing For the tuwo Vectors: %3D (choose Soaly). O BÁ…

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Q: JR*. If #7. a,b and c are vectors in Ila-bll=I=1|all= |16|, than I1126-3all= A) VTO B) 0J c) 2 D) JZ…

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Q: Find e.values and e.vectors for : 1- b = 2- c = [ 31 -2 2-C = -2 | 3 0 3- a = 0 0 1 2 0. Lo 0. 1.

A: To find eigenvalues and eigen vectors use  Characteristic equation det(A-aI)=0 where I is identity…

Q: 3 Consider the vectors a= =(2³₁) and b =(p+¹). 2p 8 Find the possible values of p for which a and b…

A: we have to find p.

Q: Q3. Prove that (only one): a-dy is a unit vector? a- %3! b- L = 6a, - 3a, + 2a, and M = 3a, + 2a, -…

A: Topic- Vector

Q: Let i = [1 -4] and y = [4 -6]. Find the following vectors. i = 57 ü = 2g =| w = 5i + 2j =||

A: The solution is given below:-

Q: Q10. 4 A is a condtant vector and R= 3xí + 3yj +3zk, then grad ( 3A.-R) = ? (a)A (6)3A (C) JA /d)…

A: Let us have the constant vector A=ai^+bj^+ck^ Here, a,b,c are fixed real numbers. Now,…

Q: Q1) For the two vectors: A =3 ax -2 ay, B= ay + az find: 1) 2Ax – Bx 2) the angle between A and B 3)…

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Q: Q3/ Let å = (2,1, -4) and b = (3,-2,5) be two vectors. Find a vector that perpendicular to both å…

A: Q3/ The given vectors are a⇀=2,1,-4 and b⇀=3,-2,5

Q: A The position vector of a moving particle is given as Ret)= (2+3t + 3t*)i + (4t + 4tj-6Costk ヒ=o…

A: Consider the given position vector,

Q: 2. Given vectors A = ax + 3az and B = 5ax + 2ay - 6az, determine (a) JA + B| () 5A - В (c) The…

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Q: Two vectors are defined as A = ax + 2ay + 3az and B = 3ax + 2ay -7az . Which of the following vector…

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Q: The surface of a hill is modeled by z = 100 – 22? – 4y?. When a group of hikers reach the point (3,…

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Q: R3: (a) a= [ O, 2, O ], (b) b = [3, 2, l] , (c) c = [l, -2, l] , (d) d = [-1, -1, -2] Compute the…

A: Given vectors   a = 0 , 2 , 0b = 3 , 2 , 1c = 1 , -2 , 1d = -1, -1, -2Now 2a = 2 0 , 2 , 0 = 0, 4, 0…

Q: 1 (a) Write the following vectors as column vectors. i. 4e₁-3e3 +22₂ - 2e₁ € R³. ii. e₂ + ₁ - 52₂ €…

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Q: 11.3.19 In the figure to the right, it looks as if v, + v, and v, - v, are orthogonal. Under what…

A: Dot product of two orthogonal vectors are always equals to "0" . Therefore, if v1+v2 and v1-v2 are…

Q: [C 1. : Two vectors, F1 = 50 N and F2 = 60 N, have directions as shown in the figure below.…

A: Solution

Q: Ql For the vectors A=3aX-20ay + az. B=-5ax Find the O AXBXC B A.BXC © the smallest angle between…

A: Given that the vectors are       A = 3ax-2ay+az,      B = -5ax      and     C = -8az

Q: A9. a and bare per pandicular vectors inR and llall=2, ||b||=3, then Il axrota)l| = A) 6 B) 12 C)10…

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Q: 32. (a) For a = 1, 2, and 3, draw position vectors for (1) ð = a²7 + 63 (ii) = 57 – a²3 (b) Explain…

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

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Q: You have two vectors: Ā = 7 ĵ B = 9 ĵ What is the y-component of the vector A+ B ?

A: let r=xi+yj+zk then x component of vector is i y component of vector is j z component of vector is k…

Q: Q2. (c) Find the unit vector u that has the same direction as v= (2, 2, -1).

A: Given; vector v=(2,2,-1)