Find the work performed when the given force F is applied to an object, whose resultingmotion is represented by the displacement vector d. Assume the force is in pounds and thedisplacement is measured in feet.       F = 13j, d = 44i

Q: The scalar product of vectors A and B is equal to one, therefore * vectors A and B are perpendicular…

A: The scalar product is a technique used in vector calculus. It is a way of multiplying two different…

Q: If the scalar product of two vectors, A and C, is |Ã| - equal to -3.5, if two vectors when they are…

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Q: Compute the displacement Force 12.211 N Work done=22 J

A: Given data : Force=F Work done=W   Required : Displacement

Q: Assuming the +x-axis is horizontal to the right for the vectors in the following figure, find the…

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Q: The scalar product of two vectors, A and B, is –7.5. If vector A is given by (3i - 4j) and the…

A: Given : Scalar product (A . B) = -7.5 Magnitude of Vector B (  |B| ) = 4.0 Finding the Magnitude of…

Q: Vector A has a magnitude of 4.0 at 530 counterclockwise from + x-axis and Vector B has a magnitude…

A: Given value--- A = 4 unit  , 53 degree . B = 5 unit , 130 degree. We have to find--- A ● B

Q: Vectors A and B are given by: A = 40.62i+ 85.71j B = 81.48i + 13.19j Find the scalar product AB.

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Q: Find the magnitude of the vector product of A x D

A: Given data: Magnitude of vector A,A→=8.0 m…

Q: Find the scalar and cross product of two vectors using component method.

A: The scalar product is given by  A→ . B→ = A B cosθA→ . B→ = 6×4×cos30° = 20.785

Q: The operation used to obtain a scalar from two vectors is

A: Dot product of two vector quantity gives a scalar quantity . Let  'a' and ' b' are  two vector  then…

Q: The scalar product of vectors A and B is zero, therefore * O vectors A and B are equal vectors A and…

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Q: If the displacement vector of an object is perpendicular to the force vector applied to the object,…

A: To find the work done.

Q: Two vectors are given by A = 3 î + 6j and B = -1 î + j. (a) Find A x (b) Find the angle between A…

A: Given that  A = 3i^ +6j^ B = -1i^ +j^A→ x B→ = i^j^k^360-110      = (6 x 0) -(0 x 1) i^  -(3 x 0)…

Q: USING THE PRODUCTS OF VECTORS. The scalar product of vectors Å and B is +48.0 m². Vector Å has…

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Q: Find the resultant of two unit vectors having an angle of 60◦ between them. Also find the angle.

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Q: Find the value of force applied Work done=20 J Displacement=1.33 m

A: Given data:  Work done (W) = 20 J Displacement (d) = 1.33 m Required: Force (F)

Q: Find the angle between vector a and b if a 21 +j- k and b 3i - 6j + 2k

A: a→ = 2i^ + j^ - k^b→ = 3i^ - 6j^ + 2k^

Q: Find: The magnitude and the coordinate direction angles of the resultant force.

A: Let us consider the projection of  F1 on the x-y plane. Thus, F1,xy=F1cos 60°=300×cos60°=150 N The…

Q: The result of dot product of two vectors is: O a. a vector quantity Ob.a scalar quantity O c. dot…

A: The dot product of 2 vectors is the component of one vector along the other vector.

Q: Power is a Scalar Quantity Select one: O True O False

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Q: The magnitude of the resultant of the vectors shown in figure is 5 N 7N

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Q: Find the work performed when the given force F is applied to an object, whose resulting motion is…

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Q: Vectors A and B have scalar product -8.00 and their vector product has magnitude 5.00  what is the…

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Q: There are two forces on the 2 kg box in the overhead view of the figure, but only one is shown. For…

A: Given, Mass of the box, m=2 kg Force 1, F1=20 N Acceleration of the box, a=12 m/s2 The angle between…

Q: Find the resultant of two unit vectors having an angle of 60◦ between them.

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Q: Find the work performed when the given force F is applied to an object, whose resulting motion is…

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Q: Vectors A and B are given by: A = 89.23i + 32.22j B = 57.28i + 1.98j Find the scalar product AB.

A: Given: A=89.2i+32.22jB=57.28i+1.98j

Q: The scalar product of two parallel vectors is zero Oa. False O b. True

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Q: given the vector v=i+2j+k what is the angle between v and the xaxis

A: v→ = i^ + 2j^ + k^ Magnitude of vector v = (1)2 + (2)2 + (1)2= 1+4+1= 2.45

Q: The vectors 2 and are given by 1=2i+4j-k mand 3--3i +5k m. Detemine the scalar and vector product i…

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Q: One vector has magnitude 18 units and another 5.5 units. Find their scalar product if the angle…

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Q: Vector C has magnitude 6.50 and is at an angle of 55.0° measured counterclockwise from the +x-axis…

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Q: Vectors A and B are given by: A = 90.32i + 46.07j B = 4.43i + 98.29j Find the scalar product AB.

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Q: Find the angle between the two vectors: A = 10î + 5ĵ - 3k and B = 5î + 2j + k

A: GivenA→=10 i^+5 j^-3 k^B→=5 i^+2 j^+ k^

Q: Express the force of 5kN as a vector in terms of the unit vectors i, j, and k, and also the director…

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Q: Vector A has magnitude 12.0 m, anu vector B has mag- nitude 16.0 m. The scalar product A B is 112.0…

A: Given, A→ = 12.0 mB→ = 16.0 mA→ . B→ = 112.0 m2

Q: Find the scalar product of two vectors : A=3i+4j+5k B=2i-3j+6k

A: Given: A→=3i+4j+5k B→=2i-3j+6k Introduction: The dot product of two vectors is a projection of one…

Q: What is vector producer between vector (A) = 2.00 (i) + 3.00 (j) + 1.00 (k) and vector (B) = 1.00…

A: According to question --- Given that -- vector A = 2i +3j + 1k. vector B = 1i -3j - 2k . We have…

Q: Find the cross product of the given two vectors X-Si+6j+2k and Y=i+j*k

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Q: The magnitudes of the three forces are F, = 1.8 kN, F, = 1.5 kN, and F, = 1.0 kN. Compute magnitude…

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Q: The vector a has a magnitude of 5.00 units and the vector b a magnitude of 7.00 units. If the angle…

A: Given data: Magnitude of vector a a = 5.00 units Magnitude of vector b b = 7.00 units Angle between…

Q: A vector A of magnitude 10 units and another vector B of magnitude 6.0 units differ in directions by…

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Q: A vector a of magnitude 17 units and another vector b of magnitude 8.5 units differ in directions by…

A: Here given two vectors of magnitude 17 units and 8.5 units,differs by a direction 72°. We have to…

Q: ectors A and B are given by: A = 24.15i + 22.01j B = 80.63i + 23.67j Find the scalar product…

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Q: If C is added to B. the result is -4i + 63 . If B is subtracted from C, the result is 2å – 43. Find…

A: Given: C→+B→=-4i^+6j^C→-B→=2i^-4j^

Q: Find the direction cosines of the vectors whose direction Ratios are (3, 4, 5) and ( 1, 2, -3).…

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Q: Compute the Force Work done=0.8124 J Displacement=1.112 m

A: Given data : Work done=W Displacement=d   To find : Force