Below is a diagram of the dotted cube with edges of leng Suppose vectors u = (3,0, 0), v = w = (0,0,3). Find the following vectors. (0, 3, 0), and w

Q: Determine whether or not the given two vectors are parallel.u =〈-3, 1, 4〉, v =〈6, -2, 8〉

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Q: и 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: |Given the vectors a = (1,2, 3) and b = (1, –1,2), what is the dot product a - b · a? 4 5 14 (7, 1,…

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Q: 1.) Find the area of the parallelogram with vectors as adjacent sides. и %3D (-2,9, —3) аnd v %3D…

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Q: Find the sum of the given vectors. а - (4, 0, 1), ь - (0, 5, 0) a + b Illustrate geometrically. a +b…

A: Given  The vectors  are  a =(4 ,0 ,1)  and  b= ( 0 , 5 , 0)

Q: Which of the following vectors are parallel to v = (6, 9) and whichpoint in the same direction?…

A: Given: v=6,9 and point -6,-9 in the same direction

Q: 5. Determine the value of a so that the vectors v = perpendicular. (a,3, -2) and v - (2, -2a, 1) are

A: Solve the following

Q: Define the points P(−4​,1​) and ​Q(3​,−4​). Carry out the following calculation. Find two vectors…

A: Let P(x1, x2) and Q(y1, y2) be two points. Then vector joining P and Q is given by, PQ = (y1-x1,…

Q: 3 Give the position vectors of A, B, C, D and E relative to O for the diagram below. B D-

A: In geometry a position vector so known as location vector. Here we find position vector relative to…

Q: Find the sum of the vectors and illustrate the sum geometrically.u = (4, −2), v = (−2, −3)

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Q: Given the vectors u=(2,1,1,1) and v=(3,2,-1,2) ,find the value(s) of such that  U•(u+tv)=16

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Q: For what values of c are the vectors [-8, c, 4] and [c, c²,c] orthogonal?

A: For orthogonal,dot product of vectors is equal to zero.

Q: Find the angle between the pair of vectors below. u = (2,3) and v = (-2,5)

A: Given query is to find the angle bothe vectors.

Q: Determine whether the given vectors are perpendicular. = (0, –7), 3 (8, 0) y = O Yes O No

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Q: Given the following vectors: u=(1, 2,-4) and v=(2, 3, 5) Find:

A: (a) The angle between the two vectors u and v is computed by the following formula. cosθ=u·v|u||v|…

Q: Given the vectors a = (1, 2, 3) and b = (1, –1,2), what is the dot product a · b · a? 4 14 (7,1, –…

A: a=(1,2,3)  and b=(1,-1,2)a.b.a  is dot product of three vectors

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-

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Q: Determine the value of m and n so that the vector ?⃗ = (2, 4, 6) is perpendicular to both the…

A: To find: The value of m and n. Given: The vector 2,4,6 is perpendicular to m,n,10 and 6,m,n. Concept…

Q: If u =(3, 3), v=( 13. -7), and 2w +3u-v= (4,-4) then what is the coordinate of vector w?

A: Since u=(3,3), we have u→=3i→+3j→ Also, since v=(13,-7), we have v→=13i→-7j→ Let w=xi→+yj→ Given…

Q: Which of the following is the correct value of the dot product for the vectors: u→=(6,−2,5) and…

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Q: Which of the following vectors are parallel to v = (6, 9) and whichpoint in the same direction?  (2,…

A: Let the 2 nonzero vectors be v and w and also the scalar vector be λ . Both the vectors are said to…

Q: For the given vectors u and v , find the value of ū ·i and normalize 1. u = (2,7,-1,20), v =…

A: Dot product and addition of two vectors is given by u→.v→=u1,u2,u3,u4.v1,v2,v3,v4=u1×v1, u2×v2,…

Q: Below is a diagram of the dotted cube with edges of length 3. Suppose vectors u = (3,0, 0), v = (0,…

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Q: Given the three vectors A = (3, 1, 1), B = (2, -1, 1), C = (0, 1, 2), find (AxB)xC %3D

A: The vector can be multiplied using the scalar product or dot product and vector product or cross…

Q: Consider the points A (10, 9) and B (0, – 7). Find the vector AB. АВ

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Q: nd the vector that has the same direction as <3, -1, 4) but has length 52.

A: First find unit vector of direction then multiply with given magnitude

Q: Find the sum of the vectors and illustrate the sum geometrically.u = (−1, 4), v = (4, −3)

A: Given Data The first vector is u= (-1, 4). The second vector is v= (4, 3).   The expression for the…

Q: Consider the vectors u = (7,1,5, -5) and i = (3,4, c,0) in R*. a. Find the value of c that will make…

A: In this question, the concept of scalar products is applied. Given, u→=7,1,5,-5 and v→=3,4,c,0 in R4

Q: Suppose u = (0, –2) and v = (2, 2) are two vectors that form the sides of a parallelogram. Then the…

A: This question is based on parallelogram diagonal.

Q: Find 2u, -3v, u+v, and 3u-4v for the given vectors u and v simple

A: Given vectors are u=&lt;3,2&gt;and &lt;9,1&gt; Now, we will find the given value.…

Q: Given vector U= ⟨3,1⟩ and V=⟨-4,3⟩, find a linear combination of the vectors u and v of the form aU…

A: Solving simply equations and find the value of a and b by compairing both side of vector

Q: Given the vectors a=(1,2,3) and b=(1,−1,2), what is the dot product a⋅b⋅a?

A: Solution :- let a = (x1, y1, z1) and    b = (x2, y2, z2)  be any two vectors then their dot product…

Q: Given two vectors a = (−2, 1, 3) and b = (3, −1, 2), does c = (−18, 7, 1) lie on the plane…

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Q: Find the vector v with the given length and the same direction as u.||v|| = 5, u = (√5, 5, 0)

A: Let the vector u is:   Now, The modulus of vector u is :                                     The…

Q: For the vectors u = (- 1,3) and v= (-4,2), calculate proj,u and scal,u. proj, u = D

A: Vector and scalar projection

Q: Consider the vectors u = (7,1,5, -5) and i = (3,4, c, 0) in R*. a. Find the value of c that will…

A: Given, The unit vector is in the same direction as u→=7,1,5,-5.

Q: Consider the vectors ā (2, 3, –1) and b = (4, –9, 6). Find the cross product of a and b

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Q: Use the vectors u = (2, 2), v = (-5, 1), and w = (2, -2) to find the indicated quantity. (v . u) –…

A: Given that u=2,2,  v=-5,1  and  w=2,-2.. Compute v·u as follows. v·u=-5,1·2,2=-52+12=-10+2=-8

Q: 10î - 4ĵ +7 k̂ and B =

A: Find the dot product A∙ B and its angle of the given vectors: A = 10î - 4ĵ +7 k̂ and B = -2î +ĵ +…

Q: ) Below is a diagram of the dotted cube with edges of length 5. Suppose (5, 0,0), v = (0, 5, 0), and…

A: Given u=5,0,0v=0,5,0w=0,0,5

Q: -6 --5 Let z = and y . Find the vectors v = 47, ủ =i + ÿ, and w = 47 + y. w = || ||

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Q: b. Find the angle between the vectors u = (18, –1, –7) and v = (-37,35, 2)

A: u = (18, -1, -7),  ∥ u ∥ = √[(18)2+(-1)2+(-7)2] = √374 v = (-37, 35, 2), ∥ v ∥ =…

Q: For what value of "c" are the following vectors perpendicular? 3 (2, с, 9) аnd ў 3 (Зс, —1,5) (Зс, —…

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Q: Let a and b be vectors on R³. Suppose a = (-2, 3, 482+ 1) and b = ( 8 + 1, -2, 4) What must be the…

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Q: Find the vectors that satisfy the stated conditions. 23. (a) Oppositely directed to v (3,-4) and…

A: a) The given vector is v = &lt;3, - 4&gt;  To find vector opposite to given vector and half in…

Q: ) Find the cross product of the given vectors e = (6,-2,3) and f= (2,5,-1).

A: Given that  e= (6,-2,3) and f= (2,5,-1). We find vector cross product of this given vector.…

Q: Use the points P(3, 1) and Q(7, 1) to find position vectors equal to PQ and QP.

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Q: For the given vectors a and b, find the cross product a × b. a = (1, 0, -3), b =(3, 4, 0) axb=

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