While exploring a cave, a spelunker starts at the entrance and moves the following distances. She goes 10 steps north, 37 steps east, 23 steps at an angle 47° south of east, and 17 steps south. Find the resultant displacement from the cave entrance using the graphical method. Find the spelunker’s resultant displacement vector using the component method.

Q: Vector  A  has a magnitude of 32 units and points in the positive y-direction. When vector  B  is…

A: Vector A has magnitude of 32 units along positive y-direction Vector B is added to it and the…

Q: Three vectors are oriented as shown in figure, where A = 2m, B = 4m, C = 3m. Find (a) The R, and R,…

A: We can writen given vectors in x and y form as  Vector A = 0x+ 2y  Vector B = 4 cos45° x + 4 sin…

Q: Write the correct vector notation for the vector with a magnitude of 900 N? You do not need to…

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Q: A man walked 11 km towards the north, turned east and walked 6 km, then he turned south and walked 3…

A: Given data: -  The distance traveled in the north direction is N = 11 km. The distance traveled in…

Q: Solve the following vector problems using head to tail method and component method. Use graphing…

A: In the component method, each of the components along the x- and y-axis are obtained and then…

Q: The First Friday Parade route runs 1,032 m East along the Avenue of Champions then turns North 1,986…

A: Consider the figure.

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: Given four vectors: 3 newtons 20 degrees south of west; 6 newtons 45 degrees north of west; 4…

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Q: Given four vectors: 3 newtons 20 degrees south of west; 6 newtons 45 degrees north of west; 4…

A: The force F1=3N acts at θ1=20° south of west The force F2=6N acts at θ2=45° north of west The force…

Q: Vector A has a magnitude of 8.00 units and makes an angle of 42.0° counter-clockwise from the…

A: Given: The magnitude of the vector A→ is 8 units. The angle made by the vector A→ with respect to…

Q: A = 15m due West from one office to another in a company, a man travels as follows: B = 25 m. 53°…

A: A = 15 m, due west B = 25m, 53 degrees east of north C = 20 m due east

Q: Given: The vector A has a magnitude of 29 units and points in the positive y direction. When vector…

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Q: In midtown Monrovia, the street blocks have a uniform size of 80m × 20 m, with the shortest side…

A: The situation is represented in the diagram below. Let the distance walked towards the uptown is…

Q: Vector O is the resultant of vector M = -3.7i + -9.2j + -1.7k and an unknown vector N. Vector O is a…

A: Given M̅ =-3.7î + -9.2 ĵ +-1.7k̂

Q: Vector A has a magnitude of 31 units and points in the positive y direction. When vector B is added…

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Q: Given four vectors: 25 newtons 50 degrees north of east; 16 newtons 75 degrees south of east; 10…

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Q: A radar station sends a signal to a ship which is located a distance 13.0 kilometers from the…

A: Solution:                                                                                    We get…

Q: The resultant of three vectors is 90.00 cm 34 degrees North of West. If two of these three vectors…

A: Resultant vector (R→) = 90 cm ( -cos(34o)i^ + sin(34o)j^)= -74.6i^ + 50.32j^ cm Let one of the…

Q: A force vector points at an angle of 24.4° above the +x axis. It has a y component of +386 newtons…

A: Given data:  Angle (θ) = 24.4° y-component of force (Fy) = +386 N Required: The magnitude of vector…

Q: In the figure, which of the indicated methods for combining the x and y components of vector a are…

A: The vectors are always represented by arrows. The length of the arrow shows that the magnitude of…

Q: A delivery man starts at the post office, drives 35 km north, then 15 km west, then 55 km northeast,…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Salim walk six miles in a straight line in a direction north of east, and he end up two miles east…

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Q: Vector A has a magnitude 11 and angle 27 degrees. Vector B had a magnitude 13 and angle 115 degrees.…

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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: Vector A has a magnitude of 34 units and points in the positive y-direction. When vector B is added…

A: given  vector A has magnitude and in y direction  A→ = 34 j^ vector B is added to A, thus resultant…

Q: A fly enters through an open window and zooms around the room. In a Cartesian coordinate system with…

A: Given data: The initial position of the fly is: b ( 4.0 m, 1.5 m, 2.5 m ) The final position of the…

Q: Given four vectors: 25 newtons 50 degrees north of east; 16 newtons 75 degrees south of east; 10…

A: Given: A=25 N (50 N of E)B=16N (75 S of E)C=10 N (35 E of N)D=30N (S)

Q: A displacement vector D with a magnitude of 50 meters forms an angle of 120 degrees with the…

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Q: Vector A has a magnitude of 44 units and points in the positive y direction. When vector B is added…

A: The magnitude of vector A is directed in the positive y-direction. It can be given as, The…

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: pedestrian moves 6.00 km east and then 13.0 km north. Using the graphical method, find the magnitude…

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Q: Given: The vector à has a magnitude of 29 units and points in the positive y direction. When vector…

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Q: Find the vector A with a magnitude of 5 in the same direction of Vector B = 2ax - 4ay and find tge…

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Q: In the sum A→+B→=C→, vector A→ has a magnitude of 13.4 m and is angled 44.9° counterclockwise from…

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Q: Use component method to find the magnitude and direction of the resultant of the following vectors:…

A: Consider the positive X axis as east and Y axis as north. The components of vector A can be written…

Q: You are given three vectors. A = 5 m at 30 degrees B= 5 m at 150 degrees C = 5 m at 270 degrees…

A: Dear student The net resultant of any number of vectors can be found out by writing them in vector…

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

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Q: Vector A has a magnitude of 142 units and points 32.0° north of west. Vector B points 67.0° east of…

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Q: A delivery man starts at the post office, drives 40 km north, then 20 km west, then 60 km northeast,…

A: Below is graph for given vectors:

Q: Vector C = 680.0 units & 50 degrees Vector D = 480.0 units & 165 degrees Vector E = 835.0 units &…

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Q: Using a scale drawing to find the magnitude and direction of: a) the vector sum A + B; b) the…

A: a) The vector sum is represented in the figure given below:

Q: Vector A: Magnitude: .6769 N, angle: 0 degrees Vector B: Magnitude: 1.265 N, angle: 140…

A: Vector A = 0.6769 N @ 0 degree Vector B = 1.265 N @140 degreeVector C = 0.7358 N @235 degree Vector…

Q: Using the polygon method; determine the resultant vector. Considering these following vectors: A =…

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Q: Use the component method of vector addition to add the resultant of the following vectors. A: 11 km…

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Q: Figure shows four displacement vectors with magnitude and direction. Start 100 m → X A B 300 m End…

A: (a) Calculation: Write the unit vector notation of vector A. A→=100i^ Write the unit vector notation…

Q: Add the following Forces analytically to find the resultant vector, the magnitude of the resultant…

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Q: Given Five vectors whose lengths and dirction – senses are as follows: Aa is 1.5 inch long and 90…

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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.