Find the magnitude and direction of the following vectors using trigonometric functions: a. A= 10i + 6j b. B= 20i - 30j c. C= A + B d. C= B - A

Q: Problem 1 Find the x and y components of the following vectors (where the given angle is measured…

A: We know that the angle made with the axis took cosine trigonometric with itself

Q: Write an expression for a unit vector at 45∘ clockwise from the x-axis. Express your answer in…

A: A unit vector has a magnitude of length one. It can be expressed as,

Q: 3. Three displacement vectors acting on an object are shown in the figure. Determine the magnitude…

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Q: Vector A has a magnitude of 34.5 units and it points in a direction 330° counterclockwise from the…

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Q: Polygon Method: Determine the magnitude and direction of the resultant for the given vectors. Use…

A: Solution: Let the scale of the drawing be 1kph=10units. Apply polygon method: Start from origin O…

Q: The x component of vector A is - 18.7 m and the y component is + 48.3 m. (a) What is the magnitude…

A: x component of vector A = -18.7 m Y component of vector A = +48.3 m

Q: to GRAPHICALLY use the following individual vectors find the resultant vector in the first three…

A: Solution: 1. A+B: First draw the line A starting from origin O. Then, draw the line B from where the…

Q: A Vector Ā 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: Vector A has a magnitude of 36.0 units and it points in a direction 310° counterclockwise from the…

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Q: Vector A has a magnitude of 7.3m and points east. What are the magnitude and directionn of the…

A: (1). The magnitude of the -1.5 A vector is M1 = 1.5 x 7.3 =  10.95 m The direction of the -1.5 A…

Q: Two vectors lie in the x-y plane with their tails at the origin. Their magnitudes and the counter-…

A: A = 16B = 9θA = 47°θB = 104°

Q: Given two vectors A= -2.0Oi + 3.00j +4.00k and B= 3.00i + 1.0oj -3.00k, do the following. (a) Find…

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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: Calculate (a) the x- and (b) y-components of the vector with magnitude 24.0 m and direction 56.0º.

A: Given Magnitude of Vector=24.0 mDirection 56.0°

Q: following problem all angles are measured counter-clockwise from the positive x-axis. The vector A…

A: Given  A ,B and C vectors  required magnitude and direction of vector D=A-B-C

Q: Jerome has been given the following 3 vectors; A, B, & All the vectors are in the x-y plane. The…

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Q: You have two vectors, A and B. Find the vector sum of 2.1. 1 of 2.1 A +-3.5 B. A-3.62+3.93…

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Q: wo vectors are given by đ = 1.3i + 1.8) and 3 = 7.9î + 1.6). Find (a) à x B (b) ở - B.(c)( a + B).…

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Q: Question 9 Assume these three vectors are acting on an object. 1. magnitude = 50, 0 = 300° 2.…

A: Draw the schematic diagram of the vectors.

Q: Vector  a→a→ has components ax = −4.20 m/s2 and ay = +7.30 m/s2. a. What is the magnitude of the…

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Q: Physics Consider the vector F' =Fx i^+Fy j^F→=Fx i^+Fy j^ find the x and y components of the unit…

A: Given :F→=Fxi^+Fyj^

Q: Vector 2 has components Ax = 12.4 m and Ay = 4.86 m. What are the magnitude and the direction of…

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Q: Given are the magnitudes of two vectors. Find the magnitude and direction of the vectors. Sketch the…

A: Given:-  The magnitudes of two vectors. E= 60. 5m, North; F= 93.1 m,  South      G= 4.30N North ;…

Q: The x component of vector is 25.0 m and the y component is 40.0 m. (a) What is the magnitude of ?…

A: Given: Magnitude of x component of vector (x) = 25.0 mMagnitude of y component of vector (y) = 40.0…

Q: For the vectors shown in the figure below, answer the following question: В The vector R is given by…

A: vector  R=19.23i-12.75j magnitude of vector R is 23 unit, And direction from x-axis is -33.54o…

Q: For vectors B = -2î – 8j and A = -6î – 4j, calculate the following. (a) Á + B (Express your answer…

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Q: 15. What is the angle of a vector that has components of 3.5 m [E] and 7.2 m [S]? а. [Е64%S] b.…

A: Given  (15) vector and its components  (16)motion of projectile    it’s Bartleby policy that we’re…

Q: 5. Given: A = 4î + 7) B = 5î + 2) + k C = −î + 3ĵ + 2k a. Find the magnitude of vector B b. Write an…

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Q: a. vx = 20 m/s , vy = 36 m/s . Find the vector's magnitude and direction.   c. ax = 3.0 m/s2 , ay…

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Q: 3. Vector A has magnitude 13, and is at an angle of 112.6° from the +x axis. What is the x component…

A: Solution: Given that IAI = 13 angle θ= 112.6 degrees

Q: Vector A has a magnitude of 15.5 and its direction is 320° counter-clockwise from the +x-axis. What…

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Q: There are two vectors. Vector A=125x-160y and vector B=-220x+135y(in meters) Find the magnitude and…

A: Given data The vector equation of vector A is A→=125x^-160y^. The vector equation of vector B is…

Q: 60° 300 Figure 1: Vector Addition Diagram Show step-by-step solution 1. Which of the following…

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Q: PRINTER VERSION ( BACK The two vectors á and in the figure have equal magnitudes of 13.7 m and the…

A: magnitude of vectors  = 13.7 m θ1 = 30°  θ2 = 108° To find = a) Y-component of vector sum r→…

Q: [22] A vector is given by i -2i+3j. Find (a) the magnitude of i and (b) the angle that i makes with…

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Q: Vector A points to the north and has length A. Vector B points to the east and has length B = 2.0A.…

A: Vector A points to the north and has length A. Vector B points to the east and has length B = 2.0A.…

Q: During the Vector Addition lab, Mac and Tosh start at the classroom door and walk 40.0 m, north,…

A: walking distances: 40.0 m; north 32.0 m; east 15.5 m; south 2.5 m; north

Q: Ả – 2B = (18m)X + (11m)ŷ, C = (3m)x, and à + B + C = (12m)î + (23m)ŷ, a) Find the magnitude and…

A: Given that:- All the required explanation is mentioned below.

Q: Each of the following vectors is given in terms of its x- and y-components. Draw the vector, label…

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Q: Two vectors are added in a coordinate system where the positive x-axis points to the right, and the…

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Q: 8. A vector A has a magnitude of 15 (in some unspecified units) and makes an angle of 25° with the x…

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Q: Solve the following, given: A = 4î + 7} B = 5î – 2j+ k C = -î+ 3j+ 2k a) Find the magnitude of…

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Q: What is the y-component of a vector if the magnitude is 34 and direction is 75 degrees? * 32.9

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Scalars and Vectors

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