Create vectors a = (20, 45°), and b = (10, 270°), and c = (8, 160°). Calculate the vector you would need to return to the origin; express this as a magnitude and an angle.

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: The resultant vector C of vectors A and B is 20 units long and forms an angle of 40o with B which is…

A: Given that The resultant vector C of vectors A and B is 20 units long and forms an angle of 400 with…

Q: Given the displacement vectors A = (7.00 î – 2.00 ĵ + 7.00 k) m and B = (8.00 î + 1.00 ĵ – 8.00 k)…

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Q: Two vectors, T and s lie in the xy plane. Their magnitudes are 4.85 and 4.39 units, respectively,…

A: Given data: The magnitdue of vector r = 4.85. The magnitdue of vector s = 4.39. Direction of r is…

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: If a vector   has components Ax > 0, and Ay < 0, then the angle that this vector makes with the…

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Q: Determine the angle between the directions of vector A = 3.00i + 1.00j and vector B = -3.00i +…

A: Basically when we make dot product of two vectors then we get the angle between the vectors. Here…

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: Let be a vector , whose rectangular components are V = -4 and vy = 3: a) Draw the vector i on the…

A: A vector quantity has magnitude and direction. In two dimensions, a vector is represented by its…

Q: In Problem,the vector v has initial point P and terminal point Q.Write v in the form that is,find…

A: Given that Position of P is = ( 0,0) Position of Q is = (3,4)

Q: Given the two vectors A= 20.0 @ 30.0° and B= 17.0 @ 60.0°., What is A+ B in unit vector notation?

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Q: Given two vectors A= 7i + 4j − 2k, and B= 3i − 10j + 3k, calculate the angle between them, where i,…

A: Given Data:- Two vectors are A→=7i^+4j^-2k^ B→=3i^-10j^+3k^ Required:- We need to calculate the…

Q: What are (a) the x component and (b) the y component of a vectora→in the xy plane if its direction…

A: Given:    Magnitude of vector = 9.4m                                          Direction = 185o…

Q: is the direction of the vector at point c in the i, j, i-j or negative j.

A: Direction of vector at a given point is always along the normal.

Q: Find the x− and y− components of the vectors A~, B~ , C~ , and D~ . Take A = 10.0, B = 7.00, C =…

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Q: Find the angle between the following pair of vector: A= 3.00i + 5.00j and B= 10.00i + 6.00j

A: Given, A=3.00i+5.00jB=10.00i+6.00j

Q: calculate the x component and the y component of the vector with magnitude 24 degrees and direction…

A: We are assuming that the given angle is the angle made by the vector above the positive x-axis and…

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: Vector A has a magnitude of 8.0 m and points east, vector B has a magnitude of 6.0 m and points…

A: (given) Vectors are A→, B→ and C→. A→=8 i^B→=6 j^C→=-5 j^ Vector isV→ =A→+B→ +C→    =8 i^+6 j^-5 i^…

Q: Consider the two vectors, A=17x+11.5y, B=4.5x-3.5y. What is the angle of the vector A-B, measured…

A: Vector A-B can be found out using A-B = (17-4.5)x +(11.5-(-3.5))y  A-B = (12.5)x+(15)y

Q: To get from one office to another in a company, a man travels as follows: A = 15m due West B = 25 m,…

A: Given: A→ = 15 m due west  B→=25 m, 53° East of North  C→= 20 m due East.

Q: Find the angle between the following pairs of vectors: A= -2.00i + 6.00j and B= 2.00i - 3.00j

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Q: The vector B&gt;has components Bx = -2.10 m and By = -1.70 m. Find the direction angle,u, for this…

A: Let the magnitude of that vector be B0. And as the both components are negative , so clearly the…

Q: If the x- & y-components of the Sum vector are 5.1 N and -2.5 N, respectively, the magnitude of the…

A: We know that magnitude of vector whose x and y components are a and b respectively is…

Q: A vector ?⃗ = (−1.2 m)?̂+ (1.8 m)?̂. Find the magnitude and angle (between 0° and 360°, measured…

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Q: Consider the following two vectors:U = 1.3i + 2.2j + 4.1k V = -5.5i - 6.5j + 11.3k What is the…

A: Given: U = 1.3i + 2.2j + 4.1k   V = -5.5i - 6.5j + 11.3k

Q: Two vectors, A  and B  have their tails at the origin and are described by parameters (r,θ), where r…

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Q: Two vectors are given by d = (5.0 m)i - (6.0 m)ĵ + (1.0 m)k %3D and b = (-1.0 m)î + (1.0 m) ĵ + (2.5…

A: Given,a→ = 5.0 m i^ - 6.0 m j^ + 1.0 m k^b→ = -1.0 m i^ + 1.0 m j^ + 2.5 m k^

Q: Draw exactly vectors A and B and find the components of the vector sum of the two vectors C=A+B and…

A: Here, We are given, two vectors, A = (2ex+3ey) and B=(5ex+1ey) . We have to draw these two vectors…

Q: Let θ be the angle that the vector A vec. makes with the +xaxis,measured counterclockwise from that…

A: There are two physical quantities in nature- scalar and vector. Scalar quantities are those which…

Q: add the following vectors and determine the resultant. 6 m/s, 225 degrees and 2 m/s, 90 degrees

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Q: The magnitude of vector A is 5.5. Vector A lies in the second quadrant and forms an angle of 34…

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

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Q: Given that u is a vector of magnitude 3, v is a vector of magnitude 4, and the angle between them…

A: Given: The magnitude of vector u is 3. The magnitude of vector v is 4. The angle between the vectors…

Q: Consider the two vectors, A= 17x+11.5y, B= 4.5x-3.5y a. What is the magnitude of the vector 3A+B?…

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Q: Given the 3-dimensional vectors : A = i (xy) + j (2yz) + k (3zx) B = i (yz) + j (2zx) + k (3xy).…

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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 vector from the origin to point A is given as (6,-2,-4), and the unit vector directed from the…

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Q: Two vectors vector A and vector B have precisely equal magnitudes. In order for the magnitude of…

A: Magnitude of A + B is 110 times the magnitude of A – B. Therefore,

Q: Given three vectors A= 5m W, B= 8m E, and an unknown vector C which lies along the x axis. If the…

A: A→ = 5 m due west B→ = 8 m due east Resultant of three vectors = R→= 2 m due west

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: show that the vectors A= 1/2 q1+ 1/2 q2+1/2 q3+ 1/2 q4 and B= 1/2 q1 - 1/2 q2 + 1/2 q3 - 1/2 q4 .…

A: Dot product is defined as: A⇀.B ⇀ = ABcos(θAB) The dot product of orthogonal vectors is 0, since the…

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,

Q: points east, and the j vector points north.) 3.6

A: GivenA river flows due south at 2 mi/h. A swimmer attempting to cross the river heads due east…