Given the vectors: A = 3î – 3ĵ + k̂ and B = 4î + 9ĵ + 2k̂, find the A x B by using determinant and component methods in calculating the cross product.

Q: Find the length of vector u = <1,2,-3> using the dot product

A: The objective of the question is to find the length (or magnitude) of a given vector using the dot…

Q: a В Both vectors A and B have a magnitude of 40.6. Find the scalar product of the two vectors if a =…

A: Given  The magnitude of vector A is A = 40.6. The magnitude of vector B is B = 40.6. The angle…

Q: d) For the vectors A=2.00 î - 4.00 ĵ - 3.00 k and B = 5.00 ĵ - 4.00 k find the vector product À X B

A: Write the given values with suitable variables. A→=2i^-4j^-3k^B→=5j^-4k^

Q: Part A A = -2.00î + 6.003 and B= 5.00å – 3.003. Express your answer in degrees. ANSWER: Part B A =…

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Q: Calculate the dot product of vectors A and B:

A: Two vectors dot product are the product of magnitude of given vectors followed by cosine angle…

Q: metal bar is in the xy-plane with one end of the bar at the origin. A force ? =(7.00 N)?+(3.00 N)?…

A: GivenF⇀=7.00 N i^+3.00 N j^Point, x=3 m , y=4 m

Q: In this problem we are going to consider two different examples of the dot product between two…

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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: Consider the two vectors G = (4.55 N)i + (4.99 N)j + (8.16 N)k and H = (2.08 N)i + (5.89 N)j. 1.…

A: The objective of the question is to find the component of vector G along vector H. This can be done…

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

A: a)Resolve vector A into respective x and y components as,

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

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Q: Consider two vectors F = – 2i + 3j – k, and S = 4i – 3j + 2k. The dot product F.S =

A: Given that, F =  - 2i + 3j - k S = 4i - 3j + 2k The dot product of F·S is given by…

Q: Problem 4: It should be obvious that the magnitude of a vector is independent of the choice of…

A: We will answer the question by first representing the given vectors in two coordinate systems. The…

Q: Part A Find the angle between each of the following pairs of vectors A = Agi + Ayj and B = Bại +…

A: Given that:- Two vectors A and and B is given in the rectangular form.

Q: You are given 3 vectors: p = j - 3k, q = -2i - j - 3k and r = 4i + j + 3k. You are informed that…

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

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Q: Let 7 (t) = (4t? + 5, 5e-4, – 2 sin(t)) Find the unit tangent vector T (t) at the point t = 0 T(0) =…

A: Given-                                                                    r→t=4t2+5, 5e-4t,…

Q: Find the angle between the vectors u = 5i - 9j and v = /5i+j- 3k. The angle between the vectors is…

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Q: Here are three displacements, each measured in me- ters: di = .0 and dz = 4.0î +3.0ĵ+2.0k. (a) What…

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Q: 10. Vectors are defined as quantities with both magnitude and direction. There are many ways to…

A: According to the given data A=50N B=3.5m θ=55° angle b/w A and B we need to find Dot product of the…

Q: b) Convert the vector A= - ax at P(0,2,0) to cylinderical coordinat system.

A: The cylindrical coordinate system (r,φ,z) is shown below:   The transformation between cylindrical…

Q: Problem 5: Two vectors in Cartesian coordinates have components A = (3, 1) and B = (2, y). a) If…

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Q: find the angle between the following vectors.

A: Given: (a) Vectors as A→=2i^-9j^ and B→=3i^-5j^ (b) Vectors as A→=-6i^+7j^ and B→=3i^-4j^+2k^ (c)…

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

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Q: jxi=-k_This The convention is to choose the direction of +z so that ?Xj=kv which automatically means…

A: Given values: Force, F→=(7i^+9i^) N Displacement, r→=(0.8i^+1.2i^) m Torque, 𝞃→ = r→×F→

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: Multiply the Following Vectors using cross Product method. W = ř x F F = ( 5i + 3j – 8 k) N * = (2i…

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Q: A metal bar is in the xy-plane with one end of the bar at the origin. A force F =(9.00 N) î+(5.00 N)…

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Q: the xy-plane with one end of the bar at the origin. A force ? =(7.00 N)?+(3.00 N)? is applied to the…

A: GivenApplied force, F is F⇀=(7.00 N)i^+(3.00 N) j^at pointsx=3 m , y=4 m

Q: 7. YA 60° A = 10.0 30 B 30° 53° D = 20.0 37° C = 12.0 10 F = 20.0 B = 5.0

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Q: Given two vectors A = 4.30i+6.80 and B = 5.00 - 2.003, find the scalar product of the two vectors A…

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Q: wo vectors have the following magnitude, A = 14.8 m and B = 14.5 m. Their vector product is:  A⨯B =…

A: A⇀×B⇀=x2+y2+z2=-1.1 m2+0 m2+9.7 m2=9.8 m The equation to find the angle between vectors.…

Q: Find the angle between the vectors u = -i- 5j and v = 4i + 6j – 4k. The angle between the vectors is…

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Q: Given vectors P=(3 m, 4 m) and Q=(4 m, 3 m), find the angle of P + Q.

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Q: Given M = 3 î + 4 ĵ – 4 k, and  N = î − 4 ĵ −  k, calculate the vector product  M x N

A: Given: M=3i+44j-4kN=i-4j-k

Q: Given A = 2√2,a=30° B = 2√2,8 = 150° Find the scalar product A

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Q: For the vectors A=-21i+21j and B=7i+23j find the result of the dot product A.B Select one: 553.0 O…

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Q: A metal bar is in the xy-plane with one end of the bar at the origin. A force F =(9.00 N) î+(5.00 N)…

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Q: Using the definition of the scalar product, find the angle between the following vectors. (Find the…

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Q: Given these vectors: A = (0.9)î + (-9.8)ĵ+ (7.8)k B = (8.7)î + (0.2)ĵ+(-8.9)k | Find the value of…

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Q: Consider the vectors a = i + 2j and b = j + k Find the angle θ (in radians) that is between a and…

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