Vector A has a magnitude of 8.00 units and makes an angle of 45.0 ∘ with the positive x-axis. Vector B also has a magnitude of 8.00 units and is directed along the negative x-axis. Find (a) the vector sum A + B and (b) the vector sum of A-B?

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Q: Given two vectors A= 4.00i + 7.00j and B= 5.00i - 2.00j. Find the magnitude of each vector. (2 pts.)…

A: (1)  The first vector is given by- A=4.00 i+7.00j Here a1=4.00 and a2=7.00 Hence magnitude of A…

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A: Given: The vector B is B=6i-8j. The magnitude of vector A and resultant is same that is A.…

Q: Suppose you have three vectors: A⃗=−3i^+6j^ B⃗=2i^−4j^ C⃗=4i^+3j^ What is the magnitude of vector…

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Q: Vector A is 9 m, 60.0o North of East and Vector B is 3 m 30.0o West of North. What is the resultant…

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Q: Vector A has a magnitude of 8 units and makes an angle of 45.0 degrees with the positive x-axis.…

A: A→ = 8 ×(cos45oi^ + Sin45oj^) A→ = 5.65i^ + 5.65j^B→ = -8i^

Q: Vector Å has a magnitude 5.00 and points in a direction 40.0° clockwise from the negative y axis.…

A: Given information: Here A is the magnitude of the vector A and θ is the angle made by the vector A…

Q: Vector A has magnitude 150.0 mm along the x-axis. Vector B has magnitude of B at an angle of 115°…

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Q: Given the vector A = 100.00N at 30.00º above the negative x-axis. In terms of rectangular form, the…

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Q: If the vector A = I – 2j and the vector B = 4i – 5j , what angle does A + B form with the x-axis?

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Q: Vector A is 2.80 cm long and is 60.0 degrees above the x-axis in the first quadrant. Vector B is…

A: Given data The length of the vector A is lA = 2.80 cm. The angle made by the vector A with the…

Q: Four displacement vectors of a croquet ball are shown in Figure, where A = 20.0 units, B = 40.0…

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Q: Given the following three vectors: A: 300 m at 50° and B: 40 m at 150° and C: 100 m at 270 °,…

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Q: vector A = 5.00, 30.0 degrees from + x axis vector B = 6.00, 15.0 degrees from + x axis vector C =…

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Q: To get from one office to another in a company, a man travels as follows: = 25 m, 53° East of Nor =…

A: Given B=25 m, 53o East of North =25 m, 37o North of East.

Q: Vector A has an x component Ax=6 and a y component Ay=5. Vector B has an x component Bx=2 and a y…

A: Given data:  Vector A  Ax = 6, Ay = 5 Vector B Bx = 2, By = 1 Required:  Magnitude of the vector…

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 A⃗ A→ has magnitude 3.0 mm and points to the right; vector B⃗ B→ has magnitude 4.0 mm and…

A: The given vectors are A = 3 towards right…

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

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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: Vector A has a magnitude of 8 units and makes an angle of 45.0 degrees with the positive x-axis.…

A: Angle between A and B is 135 degrees. The magnitude of (A - B) can be given by the standard formula.

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: Vector CC has a magnitude of 23.423.4 m and points in the −?‑−y‑direction. Vectors AA and BB both…

A: Given vector C which has magnitude is 23.4 m and direction in negative y axes Vector A makes angle…

Q: Given two vectors = 3.00 + 5.00 and = -7.00-3.00. (a) Give the x- and y-components of each vector…

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Q: 22. Three displacement vectors of a cro- quet ball are shown in Figure P3.22, where A 40.0 units,…

A: The resultant displacement is r.

Q: Three displacement vectors of a croquet ball are shown in the figure, where |A| = 12.0 units, |B| =…

A: Given Data : The magnitude of the vector A→=12 units The magnitude of the vector B→=35 units The…

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: A vector has magnitude 12.7. Rounding off, which pair of components could not produce this vector? O…

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Q: What is the magnitude of the resultant of vectors A = 10 units 30 degrees North of East and B = 20…

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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: A displacement vector P has a magnitude of 91 ft with component Pr 78 ft and Py = - 9 ft. Express in…

A: Given data: The magnitude of P→,P→=91 ft\]    Px=78 ft Py=-9 ft

Q: Vector A points to the north and has length A. Vector B points to the east and has length B = 2.0A.…

A: Vector A points to the north and has length A. Vector B points to the east and has length B = 2.0A.…

Q: What is the magnitude of the resultant of vectors A = 10 units 30 degrees North of East and B = 20…

A: We are allowed to give the explanation of first question only which is given below.  Please repost…

Q: Given vectors a=(5,3) and b=(-1,-2) Find the x-component of the resultant vector: T = 2 a + 36

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Q: Vector C has a magnitude of 22.2 m and points in the –y- direction. Vectors A and B both have…

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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: Vector A has a magnitude of 8 units and makes an angle of 45.0 degrees with the positive x-axis.…

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Q: ector A has a magnitude of 15.0 units and it points in a direction 310° counterclockwise from the…

A: Ax=Acosθ=15.0 unitscos310°=9.64 units

Q: The baseball diamond is a square with sides 27.4m (90 ft) long. If the positive x axis points from…

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Q: Given two vectors A= -2.00i + 3.00j +4.00k and B= 3.00i + 1.0oj -3.00k, do the following. (a) Find…

A: solution:

Q: If vector B is added to vector A, which two of the following choices must be true for the resultant…

A: When we add or subtract vectors, what we do is Find the resultant of the magnitudes of the two…

Scalars and Vectors

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