A hiker leaves camp and walks 10.0 km due north. The hiker then walks 20.0 km in the direction 45 degrees west of north. Using the law of cosines, what is the total distance the hiker walks?

Q: Vector a has magnitude 3√2, vector b has magnitude 5 and the angle between a and b is 135°. What is…

A:

Q: A vector is 26.8 m long and makes an angle of 60.0° counterclockwise from the y-axis (on the side of…

A: length of vector = A =26.8 m angle =600 counter clock wise with y axis. in second quadrant angle is…

Q: The x component of vector A is 3 units, and its y component is -4 unit The magnitude of A is

A: Given    The x component of vector A is 3 units, and its y component is -4 units. The magnitude of A…

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

A: Given: Surveyor move along with the river (AB) = 100 m. Horizontal angle (θ) = 35

Q: Given two vectors A = -11.3 i + 4.71 j, B = 2.38 i - 12.97 j, find the angle (in degrees) that the…

A: Solution:-

Q: A vector has x and y components of ( -14.3 , 11.6 ). What is the vector's magnitude and direction?…

A: A vector A has x and y components Ax and Ay respectively. Then the vector's magnitude is A =(Ax2+…

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

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Q: A man leaves his front door, walks 1000 ft east, 2000 ft north, and then takes a penny from his…

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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 starts walking from home and walks: 6 miles East 2 miles Southeast 6 miles South 5 miles…

A: Displacement is the shortest distance between initial position and final position. The path of the…

Q: The vector A⃗ has a magnitude of 6.0 m and makes an angle of 60 degrees above the positive x-axis.…

A: Given,

Q: Vector A has a magnitude of 8 units and makes an angle of 45⁰ with the positive x-axis. Vector B…

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Q: The vector above is given in x- and y-component form as Vx = 14 m/s, Vy = -5 m/s' What is the angle…

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Q: Vector A is 5.80 cm long and is 60° above the x-axis in the first quadrant. Vector B is 5.80 cm long…

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

A: Given data:  Magnitude of vector (A) = 1.75 Angle (θ) = 120° Required: The x component of the vector…

Q: While exploring a cave, a spelunker starts at the entrance and moves the following distances: 71.5 m…

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Q: Two vectors, A and B, have magnitudes of 4.70 units and 9.36 units, respectively. The angle between…

A: The scalar product between two vectors is given by,

Q: A vector in the x-y plane has a magnitude of 45 units with an x- component of magnitude 15 units.…

A: Here, the x component is 15 units The magnitude of the vector is 45 units

Q: The vector sum of two displacements 18 m and 13 m is 5 m. The angle between the two displacements is…

A: A = 18 m B = 13 m Vector sum = 5 m  To find: Angle between both displacement

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: Find the magnitude |D| and angle θ of a vector that has an X component of DX = 8 meters and a Y…

A: Given, A vector D which has x component Dx=8 m       y component Dy=25 m angle θ of a vector

Q: Vector A has a magnitude of 6 units, vector B has a magnitude of 7 units, A dot B has a value of 14.…

A: Given data The magnitude of vector A is given as A=6 units. The magnitude of the vector B is given…

Q: The two vectors a and b in the figure have equal magnitude of 31 m and the angles are θ1 = 27° and…

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Q: 52. A vector makes an angle 0 with the horizontal. The horizontal and vertical components of the…

A: The horizontal component of the vector is given as,

Q: When vector is added to vector B, which has a magnitude of 5.0, the vector representing their sum is…

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Q: Vector a→a→  has a magnitude of 25 units and makes +20° with the +x-axis. Vector b→b→  has a…

A: We resolve the given vector in component form, a→=25 unitsθ=20oax→=a→cosθ=25cos20o=23.49…

Q: Since the magnitude of the vector A is 6 units and its direction is north, the magnitude of the…

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Q: Three vectors (A, B, and C) are shown in the vector diagram below. The magnitude of vector A is 60.0…

A: A→ = 60 i^ NB→ = 85 [ -Sin25oi^ + cos 25oj^] NB→ = -35.9 i^ + 77 j^  NC→ = 105 [ -Cos35oi^…

Q: a vector A (-4i-2j)and  a vector B (-2i-4j) the vector A makes an angle with the positive x axis…

A: The angle made by point A (x, y)  with positive x –axis , when it lies in different quadrant of x-y…

Q: Please only answer if you’re 100% sure PLEASE! Please show all the equations and STEPS to resolve…

A: Here given the mass of the container is 0.2 slug. There are 3000 cranberries each of mass 3 gm. When…

Q: A civil-engineering student made the following displacements at home: (A) 2.0 m at 40 degrees and…

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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 vector has a magnitude of 25 and points in a direction that is 35° above the positive x axis.

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Q: Question 5 A vector has an x-component of 4 m and makes an angle of 22° counterclockwise from the…

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Q: While exploring a cave, a spelunker starts at the entrance and moves the following distances: 76.9 m…

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Q: The vector A has a magnitude of 4.0 meters and points in the -x direction. The vector B has a…

A:

Q: A vector in the x-y plane has a magnitude of 30 units with an x component of magnitude 15 units. The…

A: Given :  Magnitude of the vector in x-y plane,  A = 30 units Magnitude of x component of the vector,…

Q: A vector is 0.888 m long and points in a 205 degree direction. Find the x-component of the vector.

A: Given : Length of a vector (d) = 0.888 m Angle (θ) = 205 degree

Q: the professor asks to find the vector D=A+B-C, where vector A has a magnitude of 8.29 units and…

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Q: A student, following directions on her map, starts at the origin and walks the following routes: •…

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Q: ector a is 15 units and vector b, which makes 90° with vector a is 20 units. Find the difference…

A: difference between a and b is same as the sum of a and -b the angle between a and -b is still 900 ,…

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: 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: The x component of the vector is -5.3 units, and its y component is 2.3 units. The angle that the…

A: A→=-5.3 i^ + 2.3 j^A=5.32+2.32=5.77A^=AA→→=-5.3 i^ + 2.3 j^5.77

Q: A person starts walking from home and walks: 3 miles East 4 miles Southeast 6 miles South 7…

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Q: What is the unit-vector notation for each of the following vectors, all with magnitudes of 50.0? (a)…

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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.