at the origin.

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

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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: Let's try! Using both parallelogram and polygon methods, find the resultant of the following…

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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: Show a[1 2 1] direction on a simple cubic unit cell and give the location (in correct notation) for…

A: The required direction vector for [1 2 1] is shown in the figure below.

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

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Q: If the Cartesian coordinates of a point are given by (-1, y) and its polar coordinates (r, 120°).…

A: given that    Cartesian coordinate =( -1 , y )  put  X = -1    Y = y polar coordinate =( r, 120°)…

Q: find vector A and vector B , from given vectors  A+B and A-B

A: The scalar product of the two vectors is given by   A→ . B→ = A B cosθ where, θis the angle between…

Q: Given the two points P(1,2,3) and Q(2,-2,1) find the vectors

A: Tail of both 'vector lies on origin

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

A: To solve the given question, we will write down the given two vectors in vector form and then we…

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: For any two vectors A and B, if A.B =0 then the angle between them is Zero aO degree 90.b O degree…

A: Given here for two vectors A and B if A→. B→ =0we are asked what is the angle between vector A and…

Q: Find the angle vector c makes with the +x axis. 10 10 Hint: Use inverse trig function, carefully.

A: We have to find the angle vector c makes with the +x axis. We can use inverse the trigonometric…

Q: nd the vector v having length |=2 and direction 0 = 135°

A: Given values:- v=2 -----(1) Direction,(θ)=1350 ----(2) Now according to the vector condition, we…

Q: 2. Calculate the total displacement of a cheetah with the following displacement vectors: • Ã = 80…

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Q: Wector A lies in the XY plane and makes an angel 0 with the positive x-axis. if the y-component of…

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Q: Find the vector v in the xy-plane with magnitude 5 if the angle between v and i is 150°.

A: Given data: Magnitude of the vector, v=5 Angle, θ=150°

Q: Given the points A(2, -1, -3) and B(1, 3, 4), specify the vector at point A that extends to point B…

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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: 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: 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: der a cube whose edges are each of unit length, One corner coincides with the origin of an xyz…

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Q: Two vectors, r and s lie in the xy plane. Their magnitudes are 4.58 and 8.82 units, respectively,…

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

A: According to question we need to find magnitude and direction of second vector?

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: : Express the vector 2i + 3j – k in the primed triad i'j'k' in which the x'y' axes are ated about…

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Q: 7.60 In Problem 7.59, what is the vector component of F parallel T to the surface?

A: As A is at the centre of the plane so, The coordinate of A will be half of the plane's coordinate:-…

Q: Find the angle between two vectors A and B given by : A=6i +4f +2k and vector B=3f -5f-3k

A: Here given two vectors A and  B. Given A= 6i+4j+2k and B= 3i-5j-3k We have to find the angle…

Q: Can two vectors, of unequal magnitude, add up to give the zerovector? Can three unequal vectors?…

A: If two vectors have equal magnitude but different directions then only their sum will be zero.

Q: Calculate the angle between Vector A and Vector B

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Q: Find a vector equation for the line through the point (-4, 8, 2) perpendicular to the plane –7x – 7y…

A: Given  Equation of plane is. -7x-7y+7z = 16 Point on line is. (-4,8,2)

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: Consider three vectors A,B and C all lying in the æ y plane. Vector A has length 6.2 and makes an…

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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: Given the points A(1,2,3) and B(2,-2,1), find the a. Vectors A and B with respect to origin b.…

A: W have the point A(1,2,3) and B(2,-2,1) We need to find the corresponding vectors.         [Please…

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,