A surveyor wants to find the distance across a river. A stake is placed on each bank of the river as shown in the figure. She measures a distance of 30.0 m from one stake to another on the same side of the river, thus finding the third vertex on a right triangle. She then measures the angle O and finds it equal to 75.9°. What is the distance across the river?

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

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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: To add to the vector, the vector is drawn in a way that the second vector starts from the head of…

Q: What is the greatest distance on the surface of the earth that can be seen from the top of Mayon…

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Q: A certain corner of a room is selected as the origin of a rectangular coordinate system. If a fly is…

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Q: The two vectors á and b in the figure have equal magnitudes of 14.6 m and the angles are e, = 30°…

A: θb=180°-θ1+θ2=180°-30°+106°=44°

Q: The vector (3, 45°) is equal to (1.83, 2.83) in rectangular coordinate O (1.83, 1.83) in rectangular…

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Q: Given: Two forces F and G are applied to a hook. Force F is shown in F = 100 lb the figure and it…

A: To determine Resultant force

Q: A certain corner of a room is selected as the origin of a rectangular coordinate system. If a fly is…

A: Given : position of fly : P(2.5,1.9) Origin: O(0,0)

Q: Given two vectors A = 9.97 i + 1.92 j- 1.56 k, B = 0.05 i - 7.08 j+ 4.89 k, find the %3D magnitude…

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Q: Use a scale drawing and find the x and y components of the following vectors. In each case the…

A: Given, Magnitude of vectors, d1=9 m,d2=15 km,d3=4.6 cm Angle of vectors with x-axis,…

Q: A person is standing at the edge of the water and looking out at the ocean (see figure). The height…

A: Given, Height of person,h=1.5 m Radius of Earth,R=6.38×106m

Q: What is the y component, Ay of the vector A shown in the graph below? The magnitude of the vector is…

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Q: Where x is the length of the vector and y is the angle it makes with the x-axis, what is the length…

A: 1)  Given :   length of vector = x m                 Angle with x-axis = y deg Solution : Component…

Q: If vector A has an x-component of 2.80 m and a y-component of 5.05 m, and vector B has an…

A: Given data:  x-component of vector A (Ax) = 2.80 m y-component of vector A (Ay) = 5.05 m x-component…

Q: The line from a point 150 feet from the base of a redwood tree to the top of the tree is 211 feet.…

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Q: Consider the vector 7.2I - 4.6j, where i points horizontally to the right and j vertically upwards,…

A: Given The vector is given as A→=7.2i^-4.6j^   We have to find the magnitude of the vector and the…

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

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Q: A certain corner of a room is selected as the origin of a rectangular coordinate system. If a fly is…

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Q: A certain corner of a room is selected as the origin of a rectangular coordinate system. If a fly is…

A: With the help of Pythagorean theorem, the location of the fly can be determined by calculating the…

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

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Q: The displacement vectors A and B shown in the figure below both have magnitudes of 1.70 m. The…

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Q: Add the following component vectors and determine the resultant. (You might want to draw them).…

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Q: Given that vectors T = + 2.00x + 6.00y – 4.00z and D = 2.00x – 3.00y – 4.00z The angle between the…

A: Given that Vector T = +2x + 6y - 4z Vector D = 2x - 3y - 4z

Q: Consider the vector whose x- and y-components are given to be 3.3710 and 3.9645, respectively.…

A: Given data-                          x component of  vector (A→) = 3.3710                          y…

Q: Vector B ⃗ is 5.0 cm long and vector A ⃗ is 4.0 cm long. Find the angle between these two vectors…

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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…

A: CONCEPT:

Q: Consider the following two vectors:U = 1.3i + 2.2j + 4.1k V = -5.5i - 6.5j + 11.3k What is the…

A: Given: U = 1.3i + 2.2j + 4.1k   V = -5.5i - 6.5j + 11.3k

Q: What would be the the  x component of the resultant vector if I add two vectors one with a magnitude…

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Q: Two points in the Cartesian plane are A(2.00 m, −4.00 m) and B(−3.00 m, 3.00 m). Find the distance…

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Q: A certain corner of a room is selected as the origin of a rectangular coordinate system. If a fly is…

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Q: For question #1, what is the angle (magnitude only) of the resultant force? 10.500 35.17 0 30.0 °…

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

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Q: Consider the following vectors: A = 5.2j;  B = -4.1i + 2.5j.  Draw a diagram showing the addition of…

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

Q: There are two vectors lying on Q1 of the rectangular plane. Vector A = 125N at 75 degrees and vector…

A: Write the vector A. A=125 N @75o   Write the vector B. B=150 N @ 0o

Q: Use the magnitude and the angle to find the components of the sum.

A: In the table you are asked to execute three processes- simulation, algebric and graphical solution…

Q: The two vectors a→ and b→ in the figure have equal magnitudes of 10.2 m and the angles are θ1 = 30°…

A: Since you have posted a question with multiple subparts, we will solve the first three subparts for…

Q: A certain corner of a room is selected as the origin of a rectangular coordinate system. If a fly is…

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Q: Vector A = 7.4 i + 3.2 j.  Vector B = 3.7 i - 7.1 j. Calculate the angle between the two vectors in…

A: Given data The vector A is given as A = 7.4 i + 3.2 j The vector B is given as B = 3.7 i – 7.1 j.…

Q: Let 0 be the angle that the vector A makes with the +x-axis, measured counter-clockwise from that…

A: We are allowed to give the explanation of first three subparts of a question only which is given…

Q: hiker walks along the city streets 20 km north then 9km east . What is the direction of the…

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Q: A 15-meter ladder is resting against a wall and makes an angle of 40 degrees with the ground. Find…

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Q: A rabbit runs across a parking lot on which a set of coordinate axes has, strangely enough, been…

A: Here, Now,

Q: DEPENDING ON THE METHOD OF COLLECTING VECTORS AND ACCORDING TO THE INFORMATION IN THE FIGURE AND…

A: Rx=11cos90+30.5cos30+55.8cos255+9cos180=2.971 mRy=11sin90+30.5sin30+55.8sin255+9sin180=-27.64866111…

Q: The two vectors a→ and b→ in the figure have equal magnitudes of 14.6 m and the angles are θ1 = 30°…

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Q: Consider the following 2 vectors: A =1.42 m 27.2° B =4.63 m 56.8° The angles in the above formulas…

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

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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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Scalars and Vectors

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