What are the units of volume? Suppose another student tells you that a cylinder of radius r and height h has volume given by πr^3 h. Explain why this cannot be right.

Q: On what quadrant is the vector -3i - 15j located? On what quadrant is the vector 3i + 15j located?…

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Q: 1. From the figure shown below, (a) express all four vectors A, B,C,& D in unit vector notation (b)…

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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…

Q: A (3.60 m) 70.0° 30.0° B (2.40 m) Part A Write the vector A in the figure (Figure 1) in terms of the…

A: According to guidelines we need to solve only first three sub-part kindly repost other parts in the…

Q: Problem 1.42 Vector A has components A, = 1.40 cm, A, = 2.35 cm; vector B has components B, = 4.20…

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Q: The x-component of vector R is R = -31.0 units and its y-component is R, = 31.6 units. What are its…

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Q: Vector A has magnitude of 8 m and vector B has magnitude of 4.1 m. If the angle between the two…

A: Angle between two vector is 60 degree

Q: What is the unit-vector notation for each of the following vectors, all with magnitudes of 38.0? (a)…

A: Given: The magnitudes of all vectors are 38.0.

Q: tically-upward vector b • Outwardly-directed unit vector ĉ 1.6 4 Vector magnitude and direction…

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Q: What is the unit-vector notation for each of the following vectors, all with magnitudes of 38.0? (a)…

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Q: Three players on a reality TV show are brought to the center of a large, flat field. Each is given a…

A: What does she calculate?Given,displacements:A: 72.4 m, 32.0˚ east of north  B: 57.3 m, 36.0˚ south…

Q: A new physics unit of distance is created and called the Zarkov.  A student informs you 1 Zarkov (1…

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Q: y 37.0° Ā (12.0 m) 60.0° 40.0° Č (6.0 m) В (15.0 m) Compute the z and y components of vector Á.…

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Q: An expression for buoyant force is FB = ρgV, where FB has dimensions [MLT−2], ρ (density) has…

A: Buoyant Force is given by FB = ρgV FB is Buoyant Force which has dimensions [MLT−2] where ρ is…

Q: Three displacement vectors of a croquet ball are shown in the figure, where |A| = 12.0 units, |B| =…

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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: A trapper walks a 5.0-km straight-line distance from her cabin to the lake, as shown in the…

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Q: Vector A has magnitude 3.0 m and points to the right; vector B has magnitude 4.0 m and points…

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Q: the accompanying 1. The vectors shown in figure form an equilateral triangle vith sides 2.0 m long…

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Q: Two points in the xy plane have Cartesian coordinates (2.00, –4.00) m and (-3.00, 3.00) m. Determine…

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Q: Vector addition: (use scale 1 cm = 5 units, for example 15 m/s = 3 cm) Draw coordinate plane too (x…

A: The vector diagram of given problem can be drawn as,

Q: Draw and label the vector with these components. Then determine the magnitude and angle of the…

A: The vectors are given by; a→=3 i^-2 j^ (This vector will be in the fourth quadrant) b→=-2 i^+2 j^…

Q: Referring to the vectors in the figure, express the sum A⃗ +B⃗ +C⃗  in unit vector notation.(Figure…

A: The x-component of the vector sum is given by

Q: If the cartesian coordinates of a point are given by (3, y) and its polar coordinates are (r, 60° ),…

A: Given data, co- ordinate x = 3 angle = 60o

Q: The vectors shown in the accompanying form an equilateral triangle vith figure sides 2.0 m long.…

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Q: Vector A⃗ A→, vector B⃗ B→, and vector C⃗ C→ are drawn to scale in the figure below. The vector A⃗…

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Q: Two vectors A and B are shown in the figure. Vector A has a magnitude of rA = 29.3 and an angle of 0…

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Q: For the triangle shown in Figure P1.45, what are (a) the length of the unknown side, (b) the tangent…

A: The triangle is right angled. Use pythagorean theorem to find the length of the unknown side.

Q: In a 2-dimensional Cartesian system, the x-component of a vector is known, and the angle between…

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Q: Three displacement vectors of a croquet ball are shown in the figure, where IAI - 16.0 units, B| -…

A: a) The required resultant vector is, b) The required magnitude of the resultant vector is,

Q: 'mres In the following problem all angles are measured counter-clockwise from the positive x-axis.…

A: Given Data : The magnitude of vector A is given as A = 11.5. The direction of vector A is given as…

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

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Q: The components of vector A→ are Ax and Ay (both positive), and the angle that it makes with respect…

A: Given data: The component of the vector A Ax and Ay  Both are positive  Required: The angle with…

Q: 90.0° |b| = 7.2 56.3° 33.7 Add the two vectors a and b, GRAPHICALLY (by manually drawing) and show…

A: Given

Q: Two vectors A and B are shown in the figure. Vector A has a magnitude of rA = 24.5 and an angle of…

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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: What is the y-component of vector E in terms of the angle 0 and the magnitude E shown in (Figure 1)?…

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Q: Im confused on P 3.14.

A: (a) First resolve the components in x and y directions.

Q: The vectors A B C D , , and are shown in the figure. a) Write the vectors in components (in terms of…

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Q: (Figure 1) shows vectors A and B. Vector C is such that A+B+č = 0. Part A What is the component C,…

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Q: s shown in the diagram below, a soccer player kicks a ball directly toward the goal along a…

A: Given:r→=9.2 mθ = 30°…

Q: Two vectors lying in the x-y plane are defined by their magnitudes and direction angles, as shown in…

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Q: The components of vector Q are given as follows: Qx = 23.5 Qy = 18.6. What is the measure of the…

A: Given data:   Qx = 23.5 Qy = 18.6

Q: Two vectors A and B are shown in the figure. Vector A has a magnitude of r = 20.5 and an angle of 0A…

A: Given data:  Magnitude of vector A (rA) = 20.5 Angle (θA) = 28.7° Magnitude of vector B (rB) = 42.5…

Q: A vector A has the following components, Ax = %3D 5.1 cm; Ay = 2.9 cm. What is the direction of this…

A: The direction of a vector is the measure of the angle it makes with the horizontal direction. If we…

Q: A new landowner has a triangular piece of flat land she wishes to fence. Starting at the west…

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Q: Help solve for two part question A) Cross Product, rectangular coordinates: If A = 7 i + -6 j and B…

A: Given   A1 = 7 i + -6 j  B1 = 2 i + 0 j,  A2 = 4 < 29  = 4( cos(29) i +sin(29) j ) B2= 9 < 52…

Q: Define the unit vector? What is the unit vector of the general vector: ?

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Q: Vector R is given by R=A-2B+3C. Calculate the magnitude of R as well as direction with respect to…

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