You are to program a robotic arm on an assembly line to move in the xy-plane. Its first displacement is A; its second displacement is B, of magnitude 10.00 cm and direction 74.2 deg measured in the sense from the +x-axis toward the -y-axis. The resultant C = A + B  of the two displacement s should also have a magnitude of 10.00 cm, but a direction 41.6 deg measured in the sense from the +x-axis toward the +y-axis. (a) Find the magnitude of A. (b) Find the angle of vector A from the +x-axis.

Q: Problem 4: Two points in a plane have polar coordinates P1(2.4 m, Jt/6) and P2(3.8 m, 2jt/3). P1(,…

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Q: Assume you have the following two vectors: A 14i+ 15.5j + 13k B = 1.3i+ 7.5j - 1.9k Part (a) What is…

A: We will calculate the cross product with the help of determinants

Q: Vector A has magnitude 11 m and points 30° north of east. Vector B has magnitude 6 m and points 30°…

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Q: The figure shows two displacement vectors A and B.Vector A points at an angle of 23.0° above the x…

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Q: Given vector A = (3.00i - 2.00j)m and vector B = (-2.00i + 2.00j)m determine vector C if C = 3A - B.…

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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…

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A: Let α and β denote the angles made by A and B counter-clockwise from the positive x-axis. Let i and…

Q: Two vectors are given by a = 2.5î + 5.6ĵ and b = 7.9î + 2.4ĵ. Find (a) a × b ,(b) đ b,(c) (a + b). b…

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Q: 1.2 Vector A has magnitude of 11 m/s² and makes an angle of 65 degrees with the positive x-axis, and…

A: (a) The components of the vector A is, Ax=Acos65o=11 m/s2cos65o=4.65 m/s2Ax=Asin65o=11…

Q: A man wants to subtract the two position displacement vectors. The magnitude of the Two vectors are…

A: Two vectors A→and B→ are shown in figures. It is given that the magnitudes are  A=50m B=30m These…

Q: Vector  A, with magnitude 29.0 units, points in the positive y-direction. Vector  A + B has a…

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A: All physical quantities in this world is classified as either vectors or scalars. Any vector can be…

Q: The displacement vectors A and B shown in the figure below both have magnitudes of 1.90 m. The…

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Q: vector A has components Ax = -3.0 and Ay = -4.0, and vector B has components Bx = 3.0 and By = -8.0,…

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

A: The value of vector A is A→=6 i^ , while vector B has both vertical and horizontal components ,…

Q: You are to program a robotic arm on an assembly line to move in the xy-plane. Its first displacement…

A: Given, B=10.00cm @74.20C=10.00cm @41.60

Q: Vector C has a magnitude of 22.2 m and points in the −y‑ direction. Vectors A and B both have…

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

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Q: Vector A is 2.80 cm long and is 60.0° above the x-axis in the first quadrant. Vector B is 1.90 cm…

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Q: What's the resultant displacement vector C=A+B as a magnitude and direction? Given 2 vectors:…

A: Given: The vectors, A = 4.00i + 7.00j B = 5.00i - 3.00j

Q: A traveler is exploring an unfamiliar cave in the Northern Luzon. She follows a passage 180 m…

A: Vectors and scalars are treated differently. We need to take care of the directions respectively.…

Q: Vector A has a magnitude of 10 units and a direction angle of 14° measured counterclockwise positive…

A: magnitude of vector  A = 10 units angle = 140 from+x axis magnitude of  B = ?

Q: The magnitude of vector A is 40.0 units and points in the direction 335° counterclockwise from the…

A: The given angle is in the direction 335° counterclockwise from the positive x-axis that means…

Q: Vector V is in standard position and makes an angle of 30 degree  with the positive x-axis.Its…

A: θ=Angle made by the vector and positive x axis=30°|V|=Magnitude of vector=18

Q: Vector F1 = 625 N makes an angle of 270o when rotated counterclockwise from the +x axis. Vector F2 =…

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Q: Vector A is 3.0 units in length and points along the positive × axis; vector B is 5.0 units in…

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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…

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Q: Vector A vec is in the direction 34.0 clockwise from the -yaxis. The x-component of A vec is Ax =…

A: Given data Ax=-16 mθ=34°

Scalars and Vectors

Scalars and Vectors are the classification of physical quantities that are used to denote various terms in physics.