Question 3: The vectors below are adjacent sides of a parallelogram with area v195 square units. Determine the value(s) of k. Express all answers as a reduced fraction. a = [2, 3, –1] b = [k, –1,2]

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

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Q: Question 16 Find the area of the parallelogram with the two adjacent vectors, a and b, to the…

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Q: QUESTION 1. Three vectors are defined by position vectors defined m= (5,4,2), ñ=(-1,-3,6) and p =…

A: From the given problem:   m→=5,4,2 ; n→=-1,-3,6 ; p→x,-y,-z   From the scalar multiplication:…

Q: Find the magnitude of each of the following vectors.     (0,5)

A: If v=ai+bj=a,b is any vector then magnitude of v is v=a2+b2

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…

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Q: Question 11 Let u (-3, 1) and v= (4,2). Find the value a in each of the following such that u + av…

A: Given ,u=-3i + j   ,  v = 4i+2j⇒u + av = -3i + j + a4i+2j⇒u + av = 4a-3i +2a+1j

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

A: The given vectors are 4t1 and 4-1 are parallel4t1=k4-14t1=4k-k where k is a scalar

Q: Question 1) Resolve the vector into its x- and y-components. 940N < 326° x=  y=  Round to whole…

A: For every vector, the x component is the cosine of that vector and the y component is the sine of…

Q: Question 2 · „] Let a be the vector (2, -3, –1) and b be the vector (6, -2, 3). Find the projection…

A: Topic = Vector

Q: Question 7 For what value of t, if any, is the vector t, -1 parallel to the vector (4, - 1) ? t= 8…

A: If two vectors (Ax , Ay) and (Bx , By) are parallel vectors then, Ax/Ay=Bx/By

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

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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: Question 5 If u and v are nonzero vectors and u x v= 0, then u and v are orthogonal. O True O False

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Q: QUESTION 1 Let A(1,0, - 1) B(1, - 1,2) and P(k,k,k): The vector from A to gis perpendicular to the…

A: Here I am attaching image so that you understand each and every step.

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: QUESTION 1 Find the curvarure K of the vector position r(t) = %3D O A. B. Non of the above. O C. 1…

A: We need to find the curvature of the position vector rt→=2t , sint , cost The formula for curvature…

Q: QUESTION 2 Given p= (-2,1,a), q=(1,1,2) and i = (3,a,4) . a) Find px(q+r) in terms of a. b) Use your…

A: Cross product and equation of line in 3D

Q: Question 2 Consider the vectors a = 3i + 2j + 6k and b = -9i – 6j + 2k, where i, j, and k are…

A: As per guidelines only first 3 questions solved remaining questions ask new slide Product of given…

Q: QUESTION 3 a) Find a vector orthogonal to the plane passing through the points P(1,2,1), Q(2,1,-3)…

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Q: QUESTION 1 Let A(1,0, – 1) B(1, – 1,2) and P(k,k,k). The vector from A to Bis perpendicular to the…

A: We will solve the following.

Q: 2. Which of the following is not a unit vector? A. (0-2) 0. √5 √5 B. (cos 1, sin 1, 0) C. (1, 1, 1)

A: A vector v whose magnitude is 1 is called a unit vector. A vector v whose magnitude is any positive…

Q: Question 12 For what value of t, if any, is the vector (2, 4t) parallel to the vector (4, -1) ? 1 t…

A: We will solve the following.

Q: Question (2) Find the distance between u and v and determine whether u and v are orthogonal,…

A: We are given vectors: 1. u=(0,1,0) and v=(1,-2,0)2. u=(0,3,-4) and v=(1,-8,-6) The distance between…

Q: Question 6 Let u, v be vectors in R, both having length of 1 unit. If the angle between u and v is…

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Q: Question 8 Express the vector u' below as a sum of two vectors lj and u,, where uj is parallel to…

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Q: QUESTION 13 Given vectors u = (-29, -16) and v = (-37, -18), find vector u - v. Provide your answer…

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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 12 a) 3] Find the value(s) of y such that the vectors U₁ = and U₂ = are parallel. b) Find…

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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 1: Find the angle between the vectors a) (2,–3) and (2, 5) b) (-4, 2) and (5, 2)

A: Solution is given below :

Q: Question 9 If Ilull = 4. Ilv|| =3 and u.v = 0 , then the angle e between the vectors u and v is 300…

A: As we know that the dot product of the two vectors is: u·v=uvcosθ Given: u=4 ; v=3 &amp; u·v=0

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

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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…

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Q: Problem 6. For what values of h are the vectors -21 [*] 3 h and linearly independent?

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Q: Question 001: Complete the following question involving the graphs of vectors. A5 Ibs force is…

A: Given that a 5 lbs force is applied to an object at a 5° angle. We have to choose the graph most…

Q: QUESTION 1. Three vectors are defined by position vectors defined m= (5,4,2), ñ =(-1,–3,6) and =…

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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 1. Use the following information about some vectors in R to answer the questions following:…

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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: Find the angle 0 between the given vectors to the nearest tenth of a degree: u = 13î – 8î and 3 = 2î…

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Q: [Question 1] Let A = p² cos()a, +sin(ø)a, + z'a¸ and B= xya, + y°a, + za¸ find 1. A•Bat (2,- 3 6 2.…

A: Given problem is :

Q: 1) Suppose a and b are two vectors that start from the same initial point. If |a| = 8 and |b| = 11,…

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Q: Question 30 REEMA Complete the following for each pair of vectors. Es Do not round any intermediate…

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