Find the vector v with length 2 and the same direction asthe vector u =(=6,5,3). a) 12 10 b) 12 10 c) 10 70 d) O A OD

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.

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Q: 5. Find the vector that has magnitude 8 and the same direction as vector <3,6

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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: 9. If a vector is described as an airplane flying North at 400km/h, then the opposite vector can be…

A: 9. Vector described as an airplane flying North at 400km/h

Q: 3. Determine the following for the vectors: p = [2, 3, 6], q= [1, 5, 4]. a) p - 29 b) p q c) px q d)…

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Q: Define the points P = (-4, 6) and Q = (2, 4). Find the position vector corresponding to På. %3D %3D…

A: We will find the position vector of PQ as following

Q: d) State ū x v 2 1 u и

A: It states that if we curl the fingers of right hand, keeping the thumb erect, in such a way that the…

Q: 3. Given (3, 10,-8) and v = (-1,6,4), b) find a unit vector in the same direction as v-u

A: The given problem is to find the unit vector in the same direction of the vector v-u. Given vectors…

Q: Which of the following vectors represent a + b, if a and b are given as below? b a a) b) c)

A: Given : Vector a and vector b is given

Q: B) Use vectors to check whether the points A (1,-1,0), B (2,1,-1), and C (-1,1,2), are vertices of a…

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Q: -El--E--E| a) Consider a set of vectors, x =|3 ,y =| 2 , and %3D 14 Can we express the vector, v = 4…

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Q: 4. Convert the vector (2. 3, 4) into the i and i form. Then find its magnitude of the vector.

A: Vector form of a point (a,b,c) is given by v→=ai+bj+ck and magnitude of this vector is given by,…

Q: Given A = (-4, 2), for which of the choices of B is the vector AB parallel to the line, x + 3y = 1?…

A: The given point A=-4, 2. We have to choose the point B such that the vector AB→ parallel to the line…

Q: -5 -71 -2 -4 -8 -3 -9 [-1 [3 -2] t A = v = |1 w = -1 and x = 1 -3 5 1 4 v in N(A)? Type "yes" or…

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Q: u = (- 4, -1,1) and v = (8, -4,3), a unit vector in the direction of the vector w = 3u-v corresponds…

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Q: 2.Let a = (2,3,5) and uz(-,2,3) be Vecters in IR?. a) Find the rector Component Of u along a. 6)…

A: The vector component of u along a is also called the projection of u on a.

Q: 6. Given the following vectors, Draw: a) a-b b) 2c + a c) - (c-b) a X b of

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Q: 36. Given vectors A, B, C and D (Fig.(b) below). Construct (a) 3A-2B-(C-D) (b) C+(A-B+2D). 30° 100…

A: The vectors A→, B→, C→ and D→ are given.

Q: Q5) Given points A (10, -3, 4) and B(-4, 3, 5), find: a. The distance from A to B. b. A unit vector…

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Q: 3) Let a = 3i, b = i + j. Find 5a + b. A) 11i + j B) i+ 16j 4) Let a =(3, 8), b = (-5,9). Find a +…

A: Since you have posted a question with multiple sub-parts, we will solve the first three sub-parts…

Q: Let a = (2, 2, -1) and u = (0, 5, 3). Evaluate projau. a.) b.) Find a nonzero vector that is…

A: Let a = (2, 2, - 1) and u = (0, 5, 3)a.) Evaluate proj_a(u)b.) Find a nonzero vector that is…

Q: Latyent Pleaze Q)WHIte the vectoY V= as a lineal ombinalure of 8. and -4 6.

A: v=530 and 201 ,  143 ,  811 ,  -461

Q: 0) Any u unit vector and each (a, b) for the point, D_ƒ (a, b) = − D₁ƒ(a,b) True False

A: In this question, the concept of Directional derivatives is applied. According to the Definition of…

Q: Find the vector w which is of length 6 and oppositely directed to u=(2,-2,1) Select one: O None W=…

A: A vector oppositely directed to  u⇀ = &lt;2,-2,1&gt;  is  w = − u = − &lt;2,-2,1&gt;  i.e.  w =…

Q: What vector v is given by the coordinate vector B = 3 6 5 5 1 сл сл 5 " " 2 -2 -3 1 " 2 3 1 8 6 6 ?…

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