Two points in a plane have polar coordinates (2.40 m, 40.0°) and (4.50 m, 110.0°). (a) Determine the Cartesian coordinates of these points. x = _ m y= _ m (4.50 m, 110.0°) x= y=

Q: What is the angle between vector Å = 5i + 2j + 9k with z-axis? 80° 45.80 30.9° 61.5°

A: angel between A→ = 5i^ + 2j^ + 9K^ and z - axis. The formula to find the angle between vector and…

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: Vector a lies in the yz plane 68.0° from the positive direction of the y axis, has a positive z…

A: The magnitude of the vector a is 3.70 m and its direction is 68.0° from the positive direction. The…

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: Vector V with magnitude | V | forms an angle with the positive x-axis. Give the magnitude of the…

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Q: Vector C has a magnitude of 23.4 m and points in the −y‑direction. Vectors A and B both have…

A: Given value--- C = 23.4 m. alpha = 42.9 degree.  beta = 28.7 degree. We have to find--- magnitude…

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: (a) Write each of the following vectors in component form: A y 3 m/s x 2) 250 5m x 60º 7 m B (ii)…

A: Step 1: Step 2:

Q: Consider the three displacement vectors  = (−2î − 3ĵ) m,  = (4î − 5ĵ) m, and = (−6î + 5ĵ) m.  Use…

A: Given data: A= (−2î − 3ĵ) m B= (4î − 5ĵ) m C= (−6î + 5ĵ) m Need to determine the magnitude and…

Q: Vector A has a magnitude of 8.0 m and points east, vector B has a magnitude of 5.0 m and points 30°…

A: Given data The magnitude of the vector A is 8 m. The magnitude of vector B is 5 m and points 30°…

Q: wonderful hospital nurse on her first day of the job is checking on a variety of patients. Consider…

A: first leg of displacement = 100 m in a direction 37 degree north of east second leg of displacement…

Q: two points are given in polar coordinates by  (r, ?) = (2.20 m, 50.0°)  and  (r, ?) = (3.00 m,…

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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

Q: Vector A has a magnitude of 13.0 m at an angle of 22.6. What are the components of the vector?…

A:

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: Create vectors a = (20, 45°), and b = (10, 270°), and c = (8, 160°). Calculate the vector you would…

A: a = (20,45°)  b= (10,270°)  c= (8,160°)

Q: A surveyor measures the distance across a straight river by the following method. Starting directly…

A: Given information:The distance she walked across the bank of river (d) = 138 mThe angle she sights,…

Q: Three vectors are given by P = -3î + 5} + 4k , Q = 6î –- 4ĵ + 2k and R = 3î + 2j + k. Compute the…

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Q: Given the following three vectors: A: 300 m at 50° and B: 40 m at 150° and C: 100 m at 270 °,…

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Q: Given two vectors a=3.2i-3.4j and b=6.7i+8.9j find the magnitude of the vector a+b, find the…

A: Given value--- a=3.2i-3.4j b=6.7i+8.9j We have to find---  find the direction of the vector a+b,…

Q: The two vectors á and b in the figure have equal magnitudes of 14.4 m and the angles are 0₁: 28° and…

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

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: 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: Vector A can be expressed in (i,j,k) notation as 5.0i - 4.0j, and vector B as -7.0i + 2.0j.…

A:

Q: A sailboat race course consists of four legs, defined by the displacement vectors A B C and D, as…

A: Given:-  Three displacement vectors have a magnitude as  A=2.70 km B = 5.30 km  and C = 4.40 km…

Q: Vector A is 3 units in length and points along the positive x-axis; vector B is 4 units in length…

A: Given data Vector A = 3 points in +ve x direction Vector B, 4 units in the direction of 37 o from…