The vector product of vectors A and B has magnitude 20.0 m² and is in the +z-direction. Vector A has magnitude 8.0 m and is in the --direction. Vector B has no z-component.

Q: Two vectors have the following magnitude, A = 9.4 m and B = 8.5 m. Their vector product is:  A⨯B =…

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Q: Vector A has magnitude 5.00 m and lies in the xy-plane in adirection 53.0o from the +x-axis axis…

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Q: two vectors A and B have magnitudes A=2 and B= 5. if the angle between them is 40 degree find the…

A: The magnitude of the cross product is given by  A→×B→ = A B sinθ where, θ is the angle between two…

Q: Given  vector M= 4 î + 4 ĵ − 5  and vector N= 5 î − 4 ĵ − 3k̂ , calculate the vector product, vector…

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Q: Which of the following statements is true about the relation- ship between the dot product of two…

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

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

Q: Two vectors A and B have magnitude A=3.00 and B=3.00. Their vector product is AxB= -5.00k + 2.00i.…

A: Given data: Magnitude of A =3.00 Magnitude of B = 3.00 Vector product A×B=-5.00k+2.00i To determine:…

Q: Consider the vectors a = i + 8j + 4k and b = 7i − 6j − 6k, where i, j, and k are…

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Q: When is the magnitude of the vector product of two vectors the largest? When the two vectors are…

A: Solution:-  Correct options is When  the two vector s are perpendicular

Q: Two vectors have the following magnitude, A = 12.8 m and B = 7.1 m. Their vector product is: A⨯B =…

A: |A⨯B|=x2+y2           =-3.4 m2+11.7 m2           =12.2 m

Q: You are given vectors A⃗ = 5.4 i^− 6.4 j^ and B⃗ = 3.7 i^+ 6.7 j^. A third vector C⃗  lies in the…

A: SOlution: Given that A =5.4 i^− 6.4 j^ and B= 3.7 i^+ 6.7 j^

Q: Vector A = 3+39+2 and B = -4£ – 2ŷ + 52. Find the dot product and the cross product of A and B.

A: Given: Vector A→=3x^+3y^+z^ and vector B→=-4x^-2y^+5z^

Q: wo vectors have the following magnitude, A = 13.2 m and B = 11.7 m. Their vector product is:  A⨯B =…

A: Given: A=13.2 mB=11.7 m A×B=-4 mi+9.3 mk

Q: Two vectors have the following magnitude, A = 10.5 m and B = 10.1 m. Their vector product is:…

A: Data provided: Magnitude of vectors A = 10.5 m and B = 10.1 m A⨯B = -4.6 m i + 7.6 m k.

Q: Two vectors have the following magnitude, A = 7.1 m and B = 8.8 m. Their vector product is:  A⨯B =…

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Q: Use the definition of scalar product, a · b = ab cos 0, and the fact that a · b = abx + ayby + azbz…

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Q: Let vector a = and vector b = . The the cross product of vector a and b.

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Q: Given the pair of vectors, A = (9.0oî – 2.00ĵ ) and B = (-2.00î + 7.0oj ), use the definition of a…

A: A→ = (9i^ - 2j^) B→ = (-2i^ + 7j^)

Q: 6 units and is in the direction of +x-axis. Vector B has a magnitude 4 units and lies in the…

A: Given:- Vector B lies in x-y plane at an angle 30°with x-axis To find:-       Formula used:-

Q: Find the vector product (a X b) of the two given vectors: a = 2i + 3j + 4k, b = 3i + 5j. Here, i, j…

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Q: you are given vectors A=5.5i-6.6j and B=3.4i+7.2j. a third vector C lies in the xy plane. Vector C…

A: Consider the vector C as: Since the vector C is the perpendicular to A. Therefore,

Q: Two vectors have the following magnitude, A = 12.2 m and B = 12.8 m. Their vector product is: AxB =…

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Q: Vector A = (8, 4, -5) and Vector B = (-2, 3, 0). Find the angle between these two vectors.

A: Vector A=(8, 4, -5)Vector B= (-2, 3, 0)

Q: A vector a of magnitude 14 units and another vector b of magnitude 4.2 units differ in directions by…

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Q: What is the direction of the vector product A x B? Use the legend in the box to indicate direction.…

A: Introduction: The cross product is used to find a vector that is perpendicular to the plane spanned…

Q: Given two vectors A=4.00i + 7.00j and B=5.00i - 2.00j. Find the scalar product and vector product of…

A: The given values are, A=4.00i^+7.00j^B=5.00i^-2.00j^

Q: 8) A vector ä of magnitude 10.0 units and another vector b of magnitude 6.00 units differ in…

A: Given data:  a = 10.0 units b = 6.00 units Angle between vector a and b (θ) = 60.0°

Q: Two vectors A and B have magnitude A=3.00 and B=3.00. Their vector product is AxB= -5.00k + 2.00i.…

A: Magnitude of A , |A| = 3 Magnitude of B, |B| = 3 Vector product , A x B = -5k + 2i To find = angle…

Q: A vector A = Axi + Ayj + Azk has magnitude A. Then the dot product of the vector with itself, A.A is

A: the given vector is A=Axi^+Ayj^+Azk^

Q: Two vectors in Cartisian coordinates have components A= (2,2,3) and B =(4,-1,7). What is the dot…

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Q: Given two vectors Á = 4î + 3j and B = 12î – 5j a)Find the scalar product A · B. b)Find the angle…

A: (a) The scalor product of the given two vectors can be calculated as,

Q: Vector A = 4.5 i+ 3.2 j. Vector B = 4.5 i + 4.2 j. The dot product of the two %3D is C = A•B (i.e. A…

A: Consider the vectors are:

Q: A vector and has a magnitude of 7 units, and has a magnitude of 5 units, and the cross product of…

A: The physical quantity which has both magnitude and direction is considered as vector, otherwise…

Q: Vector A has a magnitude of 4 m and lies in the xy plane directed at 45 degrees counterclockwise…

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Q: 2. (a) Find the magnitude of the vector −2î +  ĵ + 2k̂). (b) Find the magnitude of the vector 3î−…

A: Hello. Since your question has multiple sub-parts, we will solve first three sub-parts for you. If…

Q: Given two vector A -5.00i – 9.00j+ 4.00k and B = -4.00i + 6.00j – 2.00k what is the vector product A…

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Q: Two vectors have a dot product of 7 m² and a cross product of magnitude 4.95 m². What is the angle…

A: Let A and B are the two vectors.

Q: The angle between two vectors is u. (a) If u = 30.0o, which has the greater magnitude: the scalar…

A: Let the vectors are A  and B. And u is the angle between them   a) If u = 30o, then scalar product…

Q: Vector A = 3 i + 3.8 j. Vector B = 5.1 i - 7.5 j. The dot product of the two is C = A ∙ B (i.e. A…

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Q: QUESTION 6 Two vectors have the following magnitude, A = 11.5 m and B = 7.5 m. Their vector product…

A: A vector is a physical quantity that has direction and magnitude. The cross product of two vectors…

Rotational Equilibrium And Rotational Dynamics

In physics, the state of balance between the forces and the dynamics of motion is called the equilibrium state. The balance between various forces acting on a system in a rotational motion is called rotational equilibrium or rotational dynamics. 

Equilibrium of Forces

The tension created on one body during push or pull is known as force.