Find a vector of length 2 in the opposite direction of the displacement from P,(-2,3,5) to P,(3,5,- 2). Express your answer in component form (x, y.

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: Which of the following is the equation of the plane passing through the point (0,2,-3) and with…

A: Plane passing through the point (0,2,-3) and with normal vector 4i - j -2k means perpendicular to…

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: Find the angle made by the vectors A and B given below A=(2,1,3). B=(3,-2,1).

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Q: Consider two vectors ā = 4i – 5j + 2k and b = -2i + 2j + 7k. Find (a) ä + b (b)ā – b, and () a thicd…

A: Given vectors are  a→ = 4i^-5j^+2k^b^ = -2i^+2j^+7k^

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: A particle moves in the xy-plane from x = 5 m, y = 2 m to a new position x = 10 m, y = 8 m. What is…

A: Given data:  Particle moves in the xy-plane Initial position (xi, yi) = (5m, 2m) Final position (xf,…

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: find the angle between two vectors, 6 and 8units long, when their is 10 units long and 4 units long

A: Use cosine theorem When 10 units long a = 6 , b = 8 and c= 10 (10)2  = (6)2 + (8)2 + 2×6×8 cosA  100…

Q: Consider vectors u = 8i-6j and v = 6i + 5j a) Find the component form of vector w =projuv that…

A: Given: The first vector is u = 8i-6j. The second vector is v = 6i + 5j. Part (a) The expression for…

Q: Write the given vectors in terms of its components and the corresponding unit vector and then verify…

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Q: Consider the vector v→=0.5t8ı^−13t2ȷ^. Using this vector, evaluate the derivative of the magnitude…

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Q: Given two vectors A and B. Find the angle between them if A = {2, -3, 4} and B = { -1,2, -2}. be…

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Q: Problem 4: Consider the three vectors A = 2.3i + 2.1j+9.3k, B = -11.6i + 1.1j+ 4.1k, and C = 1li -…

A: solution as

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

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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: Consider the displacement vectors A =i +6j (in m), B = 3i –7j (in m), and C = -2j (in m). If aÖbB =…

A: solution is given in step 2

Q: Two vectors are given by a = 3.3i + 4.1j and b = 6.6i + 5.5j. Find the component of (a) along the…

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Q: Two vectors are given by a = (1,2,3) and b = (3,2,1) in cartesian coordi- nates. Find à, a + b, a b…

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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: The vector A-B is

A: Correct answer is 4th option    9.53i +0.5j Method involves resolution of vectors in their…

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

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

Q: The distance vector from pointA (2, –3,1) and B(1,5, –3)

A: given point A =( 2 , -3 , 1)  therefore A→= 2ax-3ay+1az. point B = (1,5,-3) B→= 1ax+5ay-3az.where…

Q: Find the sum of two vectors Á and B lying in the xy plane and given by A = (2.0i + 2.0j) and B =…

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Q: A particle undergoes three consecutive displacements given by vectors A = (6.5î – 2.3ĵ – 2.0k) mm, B…

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Q: Consider three vectors A = 15.3i + 1.7j, B = 9.5i + 9.1j, and C = -2.7i - 11.4j. What is the result…

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Q: Let a= and b=. What is the x-component of the vector -2a+1b?

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Q: Show that the force vectorD ⃗ = (2.0i ^ − 4.0j ^ +k ^ )N is orthogonal to the force vector G ⃗ =…

A: Given The force vector D ⃗ = (2 î − 4 ĵ +1 k̂) N. The force vector G ⃗ = (3 î + 4 ĵ +10 k̂) N. If…

Q: For the following three vectors, what is 3C · (2 A✕B )?  A= 2.00i + 3.00j − 7.00k  B= −3.00i +…

A: Given, A→=2i^+3j^-7k^B→=-3i^+7j^+2k^C→=3i^-8j^ So we have, 3C→=33i^-8j^=9i^-24j^ and…

Q: Find the vector from B to A (4 B), given thatA = and B =. Answer should be in this form:

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Q: A=4i+6j+2k B=-2i-4j+0k find A+B and it's direction

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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: Find a unit vector directed from (0, 1, 5) to (2, -2, -1)

A: Given: A(0,1,5)  B(2,-2,-1)

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

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Q: Consider the two vectors A= 12i+ 5j and B=-3i. What is the cross product Ax B? O 51 k O none of the…

A: Given data:  A→ = 12i^ + 5j^B→ = -3i^ Required: The cross product of vector A and B

Q: Given the vectors A, B and C. Find the following: A = 3i + 5j - 2k; B = −4i + 2j + 3k ; C = 5i − 8j…

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Q: Two vectors A and B have precisely equal magnitudes. For the magnitude of A + B to be larger than…

A: The given condition is,

Q: and b, have magnitudes 4m and 5m, respectively. Vectorc= (a+ b). Considering all possible…

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Q: These are the component forms of vectors u and w: ū = (–4, −3) = w = (-1,5) Add the vectors. u + w =

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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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Q: Let vectors A=(2,1,−4), B=(−3,0,1), and C=(−1,−1,2).Calculate the following: What is the angle θAB…

A: Given,