Given the displacement vectors A = (2i + 4j + 4k) m and B = (5i - 2j + 3k) m, findthe magnitudes of the vectors; a) C= A+2B and b) D= 2A - B, also expressing each interms of its x, y, and z components.

Q: Three displacement vectors have lengths 1 m, 2 m, and 4 m. Could they possibly add together to get a…

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Q: The displacement vectors and B shown in Figure P3.9 magnitudes 3.00 m. The direction of vec- both…

A: The vectors are added using parallelogram theorem. Below is the resultant vector indicated with…

Q: The magnitudes of two vectors A → a n d B → are 12 units and 8 units, respectively. What are the…

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Q: A watermelon seed has the following coordinates: x = -3.3 m, y = 8.9 m, and z = 0 m. Find its…

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Q: Vector m=4.00 points eastward and vector n=3.00m southward. The resultant vector m+n is given by?

A: Given data:  M = 4.00 m, towards East  N = 3.00 m, towards South Required: Resultant vector M+N

Q: Vectors A and B both lie in the x-y plane. Vector A is given by a=4i-7j and vector B has a magnitube…

A: Given that the vectors A→,B→ in X-Yplane and are perpendicular (θ=900) to each other. A→ and B are…

Q: Two vectors,r→ands→lie in the xy plane. Their magnitudes are 4.86 and 4.06 units, respectively, and…

A: (a)       Vector notation of r is,

Q: Find the sum of the following four vectors ((a) and (b) for x and y components respectively), and as…

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Q: To get from one office to another in a company, a man travels as follows: B = 25 m, 53° East of…

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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: Vector A is 6.31 m at an angle of 265.6 degrees. what is the y-componenent of vector A?

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

A: given,

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: A vector has an x-component A, > 0 and has an angle 0 with respect to the +x-axis. Which of the…

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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: are given by đ = 3.01 + 3.0j – 2.0k, 37 Three vectors b = -1.0i – 4.0ĵ + 2.0k, and 7 = 2.01 + 2.0j +…

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Q: The vector B>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: A watermelon seed has the following coordinates: x = -1.4 m, y = 3.6 m, and z = 0 m. Find its…

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Q: Given two vectors, Land D where L=275ⅈ-64j and D=161.7ⅈ+44j what is the resultant, R, of these two…

A: Resultant of a vector is given by, R=L2+D2 Substitute the given values in above equation,…

Q: Three vectors are represented by A, 4.2∠45◦, B, 5.5∠−32◦ , and C, 2.8∠75◦. Determine in polar form…

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

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

Q: 3.1. Consider the displacement vectors, Ã = (2î + 4})m , and B = (î – 7})m. If Ä - B+ 3Č = 0, what…

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Q: • Find Ax and Ay for the vector its magnitude and direction given by A = 3.5 m and ©=66°…

A: (a) The values are, Ax = 3.5cos(66) = 1.4m Ay = 3.5sin(66) = 3.18m

Q: Vector A>has a magnitude of 50 units and points in the positivex direction. A second vector,…

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Q: The magnitudes of the four displacement vectors shown in the drawing are A = 17.0 m, B = 12.0 m, C =…

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Q: Vector C has a magnitude of 24.6 m and points in the -y-direction. Vectors A and B both have…

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Q: Into which quadrant do each of the following vectors point? A Quadrant II 90°<0く180° Quadrant I 0"…

A: Questions based on vectors and quadrant system

Q: The resultant vector R = 9A + 5B + 2C where A = 5 i + -2 j + 7 k ; B = 6 i + 8 j + -7 k and C = -6 i…

A: It is given that :

Q: Given the displacement vectors A = (3î – 4j + 4k) m and B = (2î + 3ĵ – 7Ê) m, find the following…

A: Given data *The displacement vector is *Another displacement vector is

Q: Given A = 5.00i + 4.00j, B = 3.00j - 7.00k. Find the vector C = 2A - B %3D O + 4i – 10j – 7k O- 10j…

A: Given: A=5.00i+4.00j  B=3.00j-7.00k  To Find: C=2A-B

Q: Two vectors have length V1=3.5 km  and V2= 4.0 km.What are the maximum and minimum magnitudes of…

A: The length of the two vectors,

Q: A has a magnitude of 27 and is parallel to B which has a magnitude of 16. Let R = A + B, let S-A-B,…

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Q: Three vectors A, B, and C have the following components: Ax=5.00, Ay=7.00; Bx=4.00, By=3.00;…

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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: Given vectors a=(10,-9) and b=(0,-5) Find the magnitude of the resultant vector: T = 3 a + 26

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Q: Given vectors a=(9,-6) and b=(3,-2) Find the magnitude of the resultant vector: T = 3à +26

A: Given  a=(9,-6) b=(3,-2) r=3a+2b (where r, a and b are vectors)

Q: The three displacement vectors in the drawing have magnitudes of A = 5.98 m, B = 6.75 m, and C =…

A: Given that: A=5.98 mB=6.75 mC=4.20 m

Q: Given vectors a=(0,-3) and b=(2,0) Find the y-component of the resultant vector: T = 2a + 36

A: Given a=(0i-3j) b=(2i+0j)

Q: Vectors Aand Bhave equal magnitudes of 5.00. If the sum of Aand Bis the vector 6.00j, determine the…

A: Given Information: The magnitude of the vector A and B is “5.00” Given that the resultant vector of…

Q: Consider the three displacement vectors: Å = (3î – )m B = (i – j)m Č = (2î – j)m Determine the…

A: Given A̅= (3î - ĵ ) m  B̅ = (î -ĵ) m  C̅ = (2î- ĵ) m

Q: The figure shows four vectors, A, B, C , and D , having magnitudes 10.0 m, 8.00 m, 6.00 m, and 2.00…

A: The magnitude of vector A is, The magnitude of vector B is, The magnitude of vector C is, The…

Q: Vectors A ⃗ and B ⃗ are two orthogonal vectors in the xy-plane and they have identical magnitudes.…

A: Given data: A→=3.0i^+4.0j^ A→=B→

Q: Consider the three displacement vectors A (3i- 35)m, B= (2i- 4)m, and C (-2i + 7j)m. Determine the…

A: A→= 3 i^ - 3 j^B→= 2 i^ - 4 j^C→= -2 i^ -7 j^M→= A→ + B→ +C →M→= (3 + 2 - 2) i^ +(- 3 - 4 + 7) j^M→…

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

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Q: If A is 35.0 meters 47° S of E and B is 19.5 meters north, what is the magnitude and direction of…

A: Given:  A = 35 m due 47 degree S of E B  = 19.5 m due north

Q: Given the following vectors: A=2i+4j, B=51-j, and C=10i+2j, find the resultant vector R.

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Scalars and Vectors

Scalars and Vectors are the classification of physical quantities that are used to denote various terms in physics.