Question 3: Given the vectors, determine a + 36 - č in Cartesian form. à = 47 – 2j – k b = 3] + 2k = -i + 5j – 6k |

Q: Find the length of the vectors (a) 2i⃗ +3j⃗ −k⃗

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Q: QUESTION 9 For what value of t , if any, is the vector (2, 4t) parallel to the vector (4, -1) ? O A.…

A: We have to find the value of t, for which the vector (2,4t) parallel to the vector (4,-1). ''Two…

Q: Question 01: Sketch the vectors ro = and v= and then sketch the six vectors ro±v,ro ± 2v,ro ± 3v.…

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Q: Question 16. Let i =i– 23+2k and ỹ= 37+43– 2k be the position vectors of X and Y. The points X, Y…

A: The solution is given as follows

Q: Question 3) Find the sum of the given vectors. 60 N (angle) 210° + 90N (angle) 130° Rx=    Ry=…

A: To find the sum of two vectors In rectangular form  And in polar form

Q: Compute the indicated vectors and also show how the results can be obtained geometrically. b-c

A: Given: b=23, c=-23

Q: Question-8 Draw direction vectors in unit cells for the following cubic directions: (2) [iī] (b) [1…

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Q: Question 2. Let ū = 31 – k, i = -ỉ - 3+ 2k. %3D (a) Find unit vectors in the direction of ū and ū.…

A: As per our guidelines we are allowed to solve one question at a time. Kindly repost the rest…

Q: Question 17 Let v 1V,VV, be vectors in RS. If v is orthogonal 3 4 4 to v, and v, and (v, )= -7, then…

A:

Q: Question 1 a) Find the value(s) of y such that the vectors U₁ = and u₂ = are parallel. - b) Find…

A: a) Find the values of y such that the vectors u1=-6, -5, 5 and u2=-18, y, 15 are parallel. Two…

Q: Question 4 Let a = 2i - 3j and b = -3j + 2k. Determine: (a) a · b (b) а хЬ (c) a unit vector that is…

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Q: 2 Describe each of the translations shown using column vectors. a d e 3 Using the vectors in…

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Q: Figure 12.12 shows triangle AOB. C is a point on AB and divides it in the ratio 2:3. A Find OC in…

A: Let's find.

Q: Find the components and length of the following vectors:(a) 4i + 3j

A: Given4i+3jTo find component and length

Q: Question 5 Let u = 5i – j+k, v=j-5k and w=-15i+3j– 3k. Which vectors, if any, are a) Parallel b)…

A: Two vectors u and v are perpendicular if u.v=0                                        Parallel if…

Q: Question 7: Let p, q, r be three mutually perpendicular vectors of the same magnitude. If a vector x…

A: Given p×x-q×p+q×x-r×q+r×x-p×r=0

Q: QUESTION 5 P3(R), p(t)=1-2t?-t³, q(t)=t +2t3, r(t)=1+t- 2t? are linearly independent. The 3 vectors…

A: We have to solve given problem:

Q: Match the vectors p,q, r', §, and ť with one of the combinations of the i and i vectors from th…

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Q: Question 1 Consider vectors u = 5i – 5j – 2k, v = -3i +5j – 3k, w = -i+5j+k and let U, V, W be…

A: Given that: u=5i-5j-2k; v=-3i+5j-3k; w=-i+5j+kLet u+v+w=i+5j-4k a.)…

Q: Question 7: Let p, q, r be three mutually perpendicular vectors of the same magnitude. If a vector x…

A: Let p, q, r be three mutually perpendicular vectors of the same magnitude. If a vector x satisfies…

Q: Which one of these vectors has magnitude 4 and makes a 210° angle with the positive x-axis? O -2/3i…

A:

Q: QUESTION 3. a) Three vectors are defined by position vectors defined as ā = 2i +j- 3k, b = -3i + 2j…

A: We need to find scalar triple and vector triple product  here i find answer in terms of x ,y ,z

Q: Question 2 For what value of t, if any, is the vector (4t, 1) parallel to the vector (4, -1) ? %3D…

A: We have to find the value of t.

Q: Question 9 Given the vectors a=i-j+2k and b=i+2j+k, determine the following: (a) a+b (b) a+b (c) a b…

A: Given are the vectors  a=i-j+2k and b=i+2j+k. We need to find the given parts.

Q: The area of the resulting parallelogram from the following two vectors that form non-paralle sides…

A: Let a →and b→ be two non parallel  vectors of a parallelogram. Then area of the parallelogram= a→×b→

Q: Question 1. Compute the dot product of the vectors u = (2,0, -3) and v = (1, 4, 2), and also find…

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Q: QUESTION 7 OA = 21 – j + nk , OB =i+3j – 2K The position vectors of points A, B and C are and OC =…

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Q: 3. Find the magnitude, ||||, of each of the following vectors: a. = -51 + 12j b. = -i- j

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Q: Question 2! For the given vectors: a = (-3,3), b = (1,-2), c = (1,2). (a) 2a-3b + c (b) angle…

A: The calculations for the subparts a, b, and c are given in the below steps.

Q: Question 10 Find the volume of the parallelepiped determined by the vectors a =i+4j-k, b= 5i+j-5k…

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Q: Question 1: Find the angle between the vectors a) (-3, 1) and (4, 2)

A: Given vectors, u→=-3,1v→=4,2

Q: Question 2 Two vectors are defined as A= ax + 2ay + 3az and B = 3ax + 2ay t az Which of the…

A: the given vectors are A = ax + 2ay + 3az B = 3ax + 2ay + az to find vector perpendicular to A+B

Q: Question 01: Sketch the vectors ro = and v= and then sketch the six vectors ro ±v,r, ± 2v,r, ± 3v.…

A: Given vectors are: r0→=-1,2 and v→=1,1 That is: r0→=-1i^+2j^ and v→=i^+j^ These vectors are…

Q: Question 3 Find a unit vector in the direction of the given vector. 20 -10

A: 3. To Find: The unit vector in the direction of the vector -2020-10

Q: QUESTION 8 The vectors u= , v= are orthogonal. O True O False

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Q: Question 17 Let A and B be points with position vectors u and v such that [u] = 6, |v| = 8 and u v=…

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Q: QUESTION 3. a) Three vectors are defined by position vectors defined as ā = 2i + j– 3k, b = -3i + 2]…

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Q: Question 1 Find the angle between the vectors (7, 1, –2) and w (2, -4, 5) V =

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Q: Question 1 [ a) Find the value(s) of y such that the vectors U₁ = and U₂ = are parallel. b) Find…

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Q: 2 Question 4: Find basis for Rª, that contains the vectors v, = and 3 4 1 v2 =

A: I have assumed two vectors and proved the set is L. I.

Q: QUESTION 3.) A Trapezoid with midpoints... * In a trapezoid ABCD, U is the midpoint of the side AB,…

A: see below attachments

Q: QUESTION 1 Using the vectors V1 = (a) 10v₁-4v2 (b) (15)v₂ 3 -6 2 -5 H 2 and V₂ = 11, compute the…

A:

Q: Let A = 2i + 3j and B = 4i − 4j. Show graphically, and find algebraically, the vectors −A, 3B, A −…

A: Given: A=2i+3jB=4i−4jFind:−A=?3B=?A−B=?B+2A=?12(A+B)=?

Q: Question 2 Given vectors d, a, and b. If d = a x b, then a • d%D d3D O ax a • b O ax (b b) O (a b) x…

A: Known fact: if a⊥b   then  a·b=0.

Q: Question 13 Given the following vectors, findA (B× C). A = [z]j– [y]k B= 2i + 3j C=31 – 6k

A: the given vectors are: A=xj^-yk^B=2i^+3j^C=3i^-6k^ we have to find A·B×C

Q: Question 7: Let p, q, r be three mutually perpendicular vectors of the same magnitude. If a vector x…

A: Introduction :

Q: Match the vectors p, q, r, s, and t with one of the combinations of the u and v vectors from the…

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Q: Question 1 Let a = 2i − 3j + 2k and b = i − 2j – k. - Determine whether the vectors a a) and b are…

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Q: QUESTION 3 Let A(3, –1,1), B(-4,2, –1) and C(2, -3,1) be three points in 3-space. Find the angle…

A: A(x0, y0, z0), B(x1, y1, z1), C(x2, y2, z2) then AB = (x1-x0, y1-y0, z1-z0) AC = (x2-x0, y2-y0,…