Consider two vectors ā = 4i – 5j + 2k and b = -2i + 2j + 7k. Find (a) ä + b (b)ā – b, and () a thicd rector č, such that å – b + ċ = 0.

Q: If A and B are two vectors, and B =-2A, so vector B has

A: A  and B are two vectors .... And B = -2A

Q: Find B and u for the vector B>with components Bx = 75.5 m and By = 6.20 m.

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Q: Consider the following vectors: A=3i+ 6j B=2i – 3j+ 4k C=5i – 2j+ k Find (a)R=A+B – C (b)А . В (с) В…

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Q: The unit vector from A(4, 2) to the point B(-2, 10) is:

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Q: : Let x and y be non-parallel vectors. Prove that (x + y) and (x - y) are vectors perpendicular to…

A: For two vectors A→ and B→, the angle between them is θ. The dot product of these vectors…

Q: Prove that the magnitude of the vector

A: To prove: magnitude of a vector M→(x,y)=M

Q: wo vectors A = 4ax + 3ay  and B = ax + 2ay + 2az , find

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Q: find its magnitude and direction (r,θ)

A: The given vector can be represented as, Here, rx and ry represent the vector’s x-component, and the…

Q: On a plane flat surface with "up" given as +y and "right" given as +x, we add two vectors. One of…

A: Given data: One vector has components = (3,4) Second vector has components = (-1,-4) Required:…

Q: Consider the vectors A = (-5.4, 8.8) and B = (8.7, -9.4), such that A - B + 3.8C = 0   What is the x…

A: Let the coordinates for point C be (x, y).For the given coordinates of A and B, vector…

Q: Consider a rectangular surface of length L and width W in the xy plane with its center at the…

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Q: Consider the vector 7.2I - 4.6j, where i points horizontally to the right and j vertically upwards,…

A: Given The vector is given as A→=7.2i^-4.6j^   We have to find the magnitude of the vector and the…

Q: For the vectors A=8.94i +6.93j-17.9k, B=7.67i-6.06j+10.2k, and C=6.25i-3.34j-9.61k, find C(A-B).

A: The difference vector between the two vectors is,

Q: Given a vector (77, 48, 22) and another vector (4, 49, 67) what is the z-component of their sum?

A: Given that Vector 1 (A)= (77, 48, 22)  And , vector 2 (B)= (4, 49, 67) Let i, j and k be the unit…

Q: Let vectors A⃗=(2,−4) A → = ( 2 , − 4 ) and B⃗=(−3,1) B → = ( − 3 , 1 ) . Calculate the following:…

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Q: Vector A is 3 units in length and points along the positive x-axis, vector B is 4 units in length…

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Q: A and B vectors S. may be defined to be equal if they have the same magnitude and point in the…

A: TWO VECTORS WILL BE EQUAL IF  1-There magnitude are equal, same length 2- there plane and direction…

Q: If the vectors 6i- 2j + 3k, 2i + 3j - 6k and 3i+ 6j- 2k form a triangle, then it is (a) Right angled…

A: Given vector--- vector P = 6i-2j+3k . vector Q = 2i+3j-6k . vector R = 3i+6j-2k . We have to…

Q: Show that for orthogonal coordinate systems gij= 0 for i not equal to j

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Q: Given the following matrix 3 3 1 5 Find its two eigenvectors. (A 3 and H2 0. B 3 and A, !! R -3 and…

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Q: Qe A Find the Vector 5 unit length in the direction of vector perpendicular to the plane which…

A: First, we need to find unit vector perpendicular to the plane passing through these three points.

Q: Given vectors A = a, + 3a, and B = 5a, + 2a,- 6a, determine (a) A + B| (ъ) 5A - В c) The component…

A: Given,A=ax+3azB=5ax+2ay-6az

Q: If A = 4i − 3k and B = −2i + 2j − k, find the scalar projection of A on B, the scalar projection of…

A: The given vectors are, A=4i-3kB=-2i+2j-k

Q: Given vectors A=21+3j+k and B= k and find B*A

A: The 2 vectors are given asA = 2i⏞ + 3j⏞ + k⏞B = k⏞ They have asked for the cross product of the 2…

Q: ctors A = 4ax + 3ay  and B = ax + 2ay + 2a

A: GivenA→ = 4ax + 3ay  andB→ = ax + 2ay + 2az

Q: Find the divergence and rotation of the following vector A=i(x^2+y^2)+j(y^2+zx)+k(z^2+xy)

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Q: Let A=5i-6.5 and B=3.5i-7ĵ . If lies in the xy-plane, Cis perpendicular to À , and Č-B=15 , what is…

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Q: prove that A ⊕ B Equal to inverse of Y= ĀB+AB̄

A: A xor B is given by A' B + AB' Given, Y = A' B + AB' Y' = (A' B + AB') ' Y'  = (A'B) '. (AB')'  Y' =…

Q: Let vector A  point from the origin into the second quadrant of the xy plane and vector B point from…

A: When subtracting vectors, the rule is to graph the first two from the origin and then connect them…

Q: The x-component of the unit vector from the point A(-2, -3) to the point B(-1, 6), is:

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Q: Suppose that you have two vectors (1,0,0, 1) (2,0,0, 2) at What is a"b,?

A: Given that aμ=(1,0,0,1) and bμ=(2,0,0,2) we have to find the value of aμbμ

Q: Suppose the vectors i, j,pand q are all unit vectors and the angle 0 = 131°. Find the cartesian…

A: Required : The force in p and q coordinates.

Q: Show that a set of vectors V (not containing the 0 vector)is linearly dependent if and only if there…

A: Let’s consider the following sets of vectors,

Q: There are two vectors lying on Q1 of the rectangular plane. Vector A = 125N at 75 degrees and vector…

A: Write the vector A. A=125 N @75o   Write the vector B. B=150 N @ 0o

Q: Given E= 1 ar the vector at point (x=1.y=7.z-8) in rectangular form is E = 0,00082156650138745a, 2…

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Q: Let be two vectors, such that a=(3+2j-2k) cm and b=(2î+2j+k) cm, calculate: 1) The angle between the…

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Q: Find the scalar and vector projections of a and b if a = 3i − 3j + k and b = 2i + 4j

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Q: The vectors from the origin to the points A, B, and C are i + j, 3i + k, and 4i – 3j – 4k,…

A: We first find the vectors of the sides AB, BC and CA. Then find if any two vectors are perpendicular…

Q: Q.1CC)IFE igen value of matrix is d, the corresponding eigen for matrix -882 vector is Lil 32 then d…

A: Given: The matrix is given as Let X be the Eigenvector matrix.

Q: Given vectors: A = 8.3i + 33 and B = 6.5i + 7.4) Find AXB

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Q: Draw the following vectors. A= 50 units, 500, B= 100 units, 950, C= 120 units, 1700, D= 150 units,…

A: In this problem, all the angles are measured from the positive x-axis and in counter clockwise…

Q: Vectors A and B are given by A = î – ĵ + 2k and B = ì – } – k whe i, j, and k are the unit vectors…

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Q: Under what circumstances would a nonzero vector lying in the xxyy plane ever have components that…

A: At 45degree angle a nonzero vector lying in the xxyy plane ever have compo

Q: Given a vector (54, 46, 48) and another vector (18, 37, 7) what is the z-component of their sum?

A: Given - Cordinateof vector A =  (54, 46, 48) Cordinateof vector B=  (18, 37, 7)Now vector -A→ = (…

Q: For the vectors i and v given below, find u i, the hermitian products u into i and i into u', the…

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