The polar coordinates of a certain point are (r = 4.30 cm, θ = 214°). (a) Find its Cartesian coordinates x and y. Find the polar coordinates of the points with Cartesian coordinates (b) (-x, y), (c) (-2x, -2y), and (d) (3x, -3y).

Q: Two vectors are given by a = 2.07 + 5.0j and b = 3.0i + 9.0j. Find (a) a x b", (b) a. b", (c) (a* +…

A: Given:a = 2.0 i^ + 5.0 j^ ................eq(1)b = 3.0 i^ + 9.0 j^ ................eq(2)

Q: Two points in a plane have polar coordinates (2.40 m, 40.0°) and (4.50 m, 110.0°). (a) Determine…

A: The cartesian coordinates of a point is given by ax = acosθ ay = asinθ, where a is the magnitude of…

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A: Since you have posted a question with a multiple sub parts, we will solve first three sub - parts…

Q: Consider three vectors: A = , B= , and C = Which of the following inequalities regarding the…

A: Given Data:  Vector A→=1i+2j-1k Vector B→=2i+3j+1k Vector C→=2i-2k

Q: 10. The magnitude of vector ī is 25.6 Vector lies in the fourth quadrant and forms an angle of 40…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: Vector u = <-7,3,-5> and vector v = <-1,1,0>. Find v X u.

A: The objective of the question is to find the cross product of two vectors v and u. The cross product…

Q: Find the following quantities for A⃗ and B⃗ A⃗ = −12mˆi + 4.0mˆj + 1.5mˆk B⃗ = 2.8Nˆi − 21Nˆk (a) A⃗…

A: Given, A = −12mˆi + 4.0mˆj + 1.5mˆk B = 2.8Nˆi − 21Nˆk

Q: Part (a) What is the length of the vector A? |A| = sin() cotan() atan() cosh() Hints: 0% deduction…

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Q: Vectors A and B lie in an xy plane. A has magnitude 7.6 and angle 116° relative to +x direction: B…

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Q: The vector in the drawing has a magnitude of 962 units. Determine the (alx and (bly components of…

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Q: Consider the vector 7.2I - 4.6j, where i points horizontally to the right and j vertically upwards,…

A: Given The vector is given as A→=7.2i^-4.6j^   We have to find the magnitude of the vector and the…

Q: Find the magnitude of vector A = -2x + 3y + 62 and the angle it makes with the x, y, and z-axes.

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Q: Three vectors a, b, and , each have a magnitude of 42.0 m and lie in an xy plane. Their directions…

A: Since you have posted a question with a multiple sub parts, we will solve first three sub - parts…

Q: magnitude of A x B?

A: Given: Vectors as A→=<-3,19,4> and B→=<13,23,23> Find: Magnitude of A→×B→

Q: A position vector that belongs to the xy plane is described by the components (x, y) - (-3.00 m,…

A: Cartesian coordinates(X,Y) in polar coordinates are given by X=rcos(theta) Y=r sin(theta) Where r is…

Q: Given vector A =   and vector B = , what is the magnitude of A x B?

A: Given, A = <23, -3, 3> B = <0, 18, 15> So,  ax = 23 , ay = -3 , az = 3bx = 0 , by = 18 ,…

Q: what is the component magnitude of vector B in the direction of vector A?

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Q: Two vectors, r and s lie in the xy plane. Their magnitudes are 3.41 and 5.16 units, respectively,…

A: Given data: The magnitude of vector r is 3.41 units. The magnitude of vector s is 5.16 units. The…

Q: Consider the two vectors, A=17x+11.5y, B=4.5x-3.5y. What is the angle of the vector A-B, measured…

A: Vector A-B can be found out using A-B = (17-4.5)x +(11.5-(-3.5))y  A-B = (12.5)x+(15)y

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Q: Given the vectors A=(3,2) and B=(5,5), find: a) The components of vector C=A+B b) The magnitude…

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Q: M Y Z N

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Q: With two vectors in Cartesian coordinates have components A = (1, 1, 3) and B = (4, 2, 5).   What…

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Q: In the sum Á + B = Ć ,vector Á has a magnitude of 13.4 m and is angled 35.2° counterclockwise from…

A: Given A=13.4m θ=35.2  C=14.1 m α=13

Q: Find the angle between vectors for the following. (Enter the smallest positive angle for each in…

A: (a) The angle between the two vectors can be found by taking the dot product of the two vectors and…

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A: Magnitude: The total amount of forces acting on an object is referred to as the magnitude of force.…

Q: = Consider the three displacement vectors A = (-41 - 31) m, B = (51- 3ĵ) m, and Ĉ method to…

A: Vector.

Q: Given (Ā× B) - C. B) . Č. (a) Prove that for any three vectors Ā, B, and C, A · (B × C) = (Ả × B)

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Q: Two points in a plane have polar coordinates (2.5m,30°) and (3.80m,120°).Determine a) the Cartesian…

A: Given Two points in a plane have polar coordinates = (2.5m, 30°) and (3.80m, 120°)

Q: find (a) 2u + v and (b) 5u - 2v.

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Q: Question 3 In a "left handed" plane polar coordinate system, the position P(r.0) is defined in terms…

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