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

Q: Find the unit vector that points in the direction of [ 2 7 1 -7] + [1 -1 2 8]

A: What is Unit Vector: Geometrical objects with magnitude and direction are called vectors. A starting…

Q: Let a and b be two unit vectors what is: 1) аx (a-b) 2) (аxb) + (bxа) 3) а-(a+ (а х b)) 4) а- (ахb)…

A: We have to solve given problem:

Q: Given that a = (1,1) and b = (-1,0). Find a vector in the same direction as but a+b five times as…

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Q: n = (-16, -30)

A: A vector is a quantity or phenomenon that has two independent properties: magnitude and direction.…

Q: -3 Vị = -5 V2 -2 12 Which weights should be used for b = a1vị + a2V2 to obtain the vector b = -3 ?…

A: We find value of a1 and a2 ?

Q: a) Let a = 2i – 3j + xk and b = -3i + j + xk. Find the values of x for which vectors a and b are at…

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Q: a) Give an example of unit vector in R3.

A: Since  you have asked multiple questions in a single request we would be answering only the first…

Q: Suppose a,b and c are vectors then a.(bxc)= -(a.(cxb)) 0 صواب İhi O

A: We know that if a , b and c are vectors then

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: Q1:The following vectors; Ā =, B =< 2,-4,6

A: To find the cross product of the vectors  A⇀×B⇀=ijk14-12-46 simplify…

Q: a – ° and For what values of a and b are the vectors 2 4 equal? a +b

A: Given vectors are: a-b2 and 4a+b. To find values of a and b for which vectors are equal. Solution:…

Q: Find the component form of the resultant vector. 1) u =(-11, 2) b=(10,-4) Find: -u - b

A: As per guidelines, we'll solve only one question if multiple questions are asked. If you need any…

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: Let i = [-1 4] and j = [-4 1]. Find the following vectors. i = 62 i = -6j = | w = 62 – 6ỹ = = [ -

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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

Q: Which of the following vectors is a particular solution to the equation? -4 -3 -9 -2 51 v2 -6 -6 -6…

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Q: Find a and ß that solve the vector equation: -(1) - •(;) - ) 26 28

A: The given problem is to find the values of the unknown variables that can solve the given vector…

Q: Two vectors are equivalent when they have the same ________ and the same ________.

A: Two vectors are equivalent when they have the same magnitude and the same direction. Magnitude of a…

Q: solve for th e vector x in terms of the vectors a and b. x - a= 2(x - 2a)

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Q: 一1- 2. Write 3 as a linear combination of the vectors +

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Q: snip1

A: (a) Let the vector 123 be a linear combination of the vectors 103 and -11-3. Then we can find…

Q: 6. The x-component of a vector is 4 and the y-component is -6. What is the magnitude and direction…

A: topic = vectors

Q: 5. V = 3 V2 = 7 4 -5 -2 Which weights should be used for b = a¡V1 + azV2 to obtain the vector b = 10…

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Q: H.W 8- Find a vector in the opposite direction of a = (4,10) but as long. 4

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Q: Solve for the vector x in terms of the vectors a and b. x - a = 2(x - 2a)

A: Given: x-a=2x-2a

Q: Find a unit vector in the direction of, a) й3 (-4,-3) b) й 3 (12, -5)

A: We have to find

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: State the condition(s) that: a) two vectors can be equal vectors. b) two vectors can be opposite…

A: To state the conditions for a given vectors.

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: If u and v are vectors in Rn, what is the relationship between uTv and vTu? Are they equal? Justify…

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Q: If å = -î +ĵ b = 2î – 3j č = î - î And d = å – 3B + ¢ Determine the unit vector of d

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Q: -8 Find the area of the triangle which is defined by vectors u = and v = -3 Area =

A: Solve the following

Q: Consider the following vectors: -4 3 -4 -2 1 |, w = -2 , and b = -2 v 1 4 When b is expressed as a…

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Q: 1 -E---Fl 2 V2 = 0 , and v3 = -5 span R³? Why or why not? 3 Do the vectors V₁ = -31

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Q: solve for th e vector x in terms of the vectors a and b. x + 2a - b = 3(x +a) - 2(2a - b)

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Q: ngle between the vectors -4 and 4. 2. 2.

A: We have to find the angle between given vectors.

Q: Solve for the unknowns in the vector equation below. 6. 6. 4 3 - a 7 a = b = ||

A: To solve for the unknowns in the vevtor equation below.

Q: For what values of a are the vectors (4, -2, a) and (9, a², a) orthogonal? O -6 and 6 0 O -2√3 and…

A: Equate dot product of two vectors to zero

Q: Consider the vectors V1, V2, V3, and b. V1 4 V2 = 5, V3 6 ,b = 7

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Q: () Let a = -2 and b= 1 be two vectors. What is |a|2|b|? - |a - b|² ?

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Q: Solve for the vector x in terms of the vectors a and b. x + 2a - b = 3(x + a) - 2(2a - b)

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Q: What is the component form of the vector that translates the top triangle to the bottom triangle? 4…

A: Top trinagle vertices is given by (-2,4), (-2,1), (2,1)

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: For two vectors a and b, we always have a-b|<|a|-|b|. Select one: O True O False

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Q: Which of the vectors in the image below represents 3 C when c = ?

A: Given query is to find the option which gives vector 3c.

Q: Find the sum of the vectors - î + 23 + k and i = - î + 23 – 2k. %3D j +

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Q: Let a, b, and x denote vectors in R,,. (a) Simplify 3a + (5b -2a) + 2(b - a). (b) If 5x - a = 2(a +…

A: (a) Calculation: The simplified form of 3a+5b-2a+2b-a can be obtained as,…