Determine the unit vector in Cartesian and cylindrical co-ordinates directed from (8,3π/4,π/6) towards (5,π/4,π) where the points are given in spherical co-ordinates

Q: QI: Two vectors A and B are confined in xz -plane as shown in figure, find 1. The scalar product A B…

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Q: Determine the magnitude and direction of the cross product r × F if F = 30.0 N, 36.9° North of East…

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Q: how did you do the calculation to find the pointing vector for the maximum points because I am…

A: Yes ! You are absolutely correct. There's a calculation error in previous solutions. Please have a…

Q: i need the answer quickly

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Q: Show a[1 2 1] direction on a simple cubic unit cell and give the location (in correct notation) for…

A: The required direction vector for [1 2 1] is shown in the figure below.

Q: Th unit vector from the origin {i.e. the point (0,0)} to the point B (3,4) is:

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Q: Two points in a plane have polar coordinates (2.50 m, 30.0°) and (3.80 m, 120.0°). Determine (a) the…

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Q: Suppose you add two vectors A and B. What is the angle between them to produce the resultant with…

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Q: If the coordinates of S1 and S2 are (2,2) and (5,-2) respectively, a) Find vectors 1 and 2. u = 1₂ -…

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

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: The vector product of vectors A and B is maximum, therefore * O O vectors A and B are parallel in…

A: Given: The two vectors are A and B. To find: The condtion for the maximum vector product.

Q: Find the angle between ?⃗⃗ = [1, −2,4] and ?⃗ = [−2,0,3] when they are positioned tail to tail.…

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Q: a. The vector from the origin to point A is given as (6,–2,–4), and the unit vector directed from…

A: This is a concept of vector. Below is the answer.

Q: In a three-dimensional space we have a vector R ( 4ai + 3af + 5ak ). Another vector S has the same Y…

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Q: Try and solve for the resultant of the two vectors. Also, determine the direction cosines of the…

A: Let n1 and n2 denote the unit vectors along the forces F and P. Therefore, from the given…

Q: The angle made by the two vectors A i + 4j + 5k and B = 5i + 7j + 9k is: A 14.80 degrees 34.80…

A: Given: A→=i^+4j^+5k^B→=5i^+7j^+9k^

Q: What is the angle between the two vectors i + 2j - 3k and 3i + 2j + k? Round your answer to the…

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Q: Find the angle between the vectors. (First find an exact expression and then approximate to the…

A: a=(1,-4,1) b=(0,5,-5)

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

A: Given: The vectors are given below. A→=4i^+3j^B→=12i^-5j^

Q: Q1) Given points A(p= 5, 6 = 70°, z -3) and B(p 2, 6 =-30°, z = 1), find: (a) a unit vector in…

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Q: Product, rectangular coordinates: If A = 5 i + -8 j and B = 12 i + 18 j,

A: Given:- A = 5i + -8 J  B = 12 i +18 j  Find;- The Dot product  A.B

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

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Q: = 2. At any point of the curve x Tangent vector 3 cos t, y = 3 sin (ii) Unit tangent vector

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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: Find the distance from the vertex of the right-circular cone to the centroid of its volume. Answer:…

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Q: 47 +5k and M = 31 + 4} +5k The angle made by the two vectors S = 3î is:

A: Dot product of two vectors can be calculated by A·B =|A| |B| cos θ  where Theta is the angle between…

Q: AB is a vector from point A(1,2,0) to point B(-3,0,5) CD is a vector from point C(1,0,3) to point…

A: The concept behind the question is vector operations, specifically the calculation of a vector given…

Q: Find the area of the triangle determined by the points P, Q, and R. Find a unit vector perpendicular…

A: Solution:-Given thatPoints-P:(-1, 1, -2)⇒OP→=(-i^+j^-2k^ )Q:(-2, 0, 1)⇒OQ→=(-2i^+k^ )R:(0, -2,…

Q: Earth R 0 Sun -X Determine the distance between the positions of the earth if the angle between its…

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Q: (a) What is the centripetal acceleration of the child? magnitude m/s² direction (b) What force…

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Q: The sun has a radius of 432,000 miles, and its center is 93,000,000 miles from the center of Earth.…

A: Radius of the sun = 432000 miles Distance between centers of earth and sun = 93000000 miles

Q: Cartesian coordinates are also called rectangular coordinates. true or false?

A: Answer : It is true  that Cartesian coordinates are also called  rectangular coordinates.

Q: The polar coordinates of a point are 4π/3 and 5.50 m. What are its Cartesian coordinates?

A: The radius,   The angular displacement,

Q: For vectors ū and i, suppose ||u|| - 5, the angle between the vectors is 170 degrees, and the dot…

A: The magnitude of the vector u→=5. The angle between the two vectors u→ and v→ is θ=170°. The dot…