Two cars are originally at the origin of a coordinate system. Car A drives directly East for 4 miles, then 30 degrees North of East for 6 miles. Car B drives 45 degrees SouthWest for 10 miles. What is the direction of the vector pointing from the final destination of vector B to vector A?

Q: The vector A has a unit magnitude and is directed to the north, and the vector B has a magnitude of…

A: The head-to-tail method is used in the graphical addition of vectors. That is the second vector is…

Q: A hiker decides to go for a walk in the woods. She walks 3 miles south of the cabin, then turns and…

A: Consider the figure below.

Q: Vector A has magnitude of 8 m and vector B has magnitude of 7.8 m. If the angle between the two…

A: Given data, Magnitude of vector A = 8 m Magnitude of vector B = 7.8 m Angle between vector A and B =…

Q: Given the following four force vectors in terms of their magnitude and directions, find the…

A: Given,  Four vectors in terms of their magnitude and direction. F1 = 534.7 N @ 135.4°F2 = 987.6 N @…

Q: Suppose you have three vectors: A⃗=−3i^+6j^ B⃗=2i^−4j^ C⃗=4i^+3j^ What is the magnitude of vector…

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Q: A snake crawls 10 m in a direction 30o north of east. What is the direction of the greatest…

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Q: Which of the following statement about Vector and Components is true?" O A vectors' component is…

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Q: Vector A has a magnitude of 8 units and makes an angle of 45.0 degrees with the positive x-axis.…

A: A→ = 8 ×(cos45oi^ + Sin45oj^) A→ = 5.65i^ + 5.65j^B→ = -8i^

Q: Vectors à and B are shown in the figure. Vector C is given by C = à – B. The magnitude of vector A…

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Q: Given the following three force vectors in terms of their magnitude and directions, find the…

A: Please see the answer below.

Q: A small plane flies a distance d1 = 46 km in a direction θ1 = 62o north of east and then flies d2 =…

A: Depict the path followed by the small plane using the given co-ordinates,

Q: 2i+j+3k represents a vector. a)Determine the magnitudes of the x, y, and z components, b) R's…

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Q: A student on a treasure hunt undergoes three displacements in search of the treasure, as shown…

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Q: For the three vectors shown in the figure, the vector sum D=A + B + C has components Dx = 3 and Dy =…

A: Given data: -  The x component of the vector D is Dx = 3. The y component of the vector D is Dy =…

Q: Vector A has a magnitude of 8.0 m, South and vector D has a magnitude of 10.0 m, 53° W of N. Find…

A: Given: The magnitude of vector A  is 8 m in the south direction. The magnitude of vector D is 10 m…

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: Given the vectors A=(3,2) and B=(5,5), find: a) The components of vector C=A+B b) The magnitude…

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Q: Vector A : Magnitude: 1.569 N Angle: 0 degrees x-component : 1.569 N y-component : 0 N…

A: Given data The magnitude of vector A is given as A→=1.569 N. The angle between the horizontal axis…

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

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Q: L Find the resultant vector, magnitude of the angle and direction using component method. F2 = 53 km…

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Q: The vector A has a components +5 and +7 along x and y axes respectively. If the vector is now…

A: SOlution: given that  vector A has a components +5 and +7 along x and y axes If the vector is now…

Q: If vector A A→ has components Ax and Ay and makes an angle θ with the +x axis, then 1) A=Ax+Ay…

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Q: Vector A has a magnitude of 8 units and makes an angle of 45.0 degrees with the positive x-axis.…

A: Given : A→ = 42 i^ + 42 j^            B→ = - 8 i^

Q: The magnitude if vector A is 8km, and the magnitude of vector B is 6km. Which of the following are…

A: Given,

Q: A skater glides along a circular path of radius 5.10 m. (a) If he coasts around one half of the…

A: Given data:  Radius of the circular path r = 5.10 m

Q: Vector A has a magnitude 28 and points to the east. Vector B has a magnitude 19 and points north. a.…

A: Magnitude of vector A = 28 points to east Magnitude of vector B = 19 and points

Q: Given vector A with a magnitude of 70 m and a direction of 30° with respect to the positive x-axis…

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Q: Addition of Vectors. Vector A has a magnitude of 3 units directed 30° south of east while Vector B…

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Q: Vector A has a magnitude of 16.5 units and it points in a direction 300° counterclockwise from the…

A: The magnitude of vector A, A=16.5 units   The vector’s position in a counterclockwise direction from…

Q: The magnitude of vector A  is 8 km, and the magnitude of B  is 6 km. Which of the following are…

A: Resultant of two vector R = (A2 + B2 + 2AB Cosθ)1/2

Q: Vector A has a magnitude of 10 units and makes an angle of 30 degrees counterclockwise from the…

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Q: Vector a has a magnitude of 12 units and makes a 60° angle with the +x axis. What is the y component…

A: The y component of vector α is    αy=αsinθ Here α=12 units and θ=60o

Q: With the given three vector A, B, C. Determine the magnitude product of CxA A= 2i - 3j + 4k B= -3i -…

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Q: The magnitude of vector A is 5.5. Vector A lies in the second quadrant and forms an angle of 34…

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Q: A hiker walks 2.5 miles in a direction 65° West of North, then 3.5 miles in a direction 40° South of…

A: A vector is a physical quantity that has both magnitude and direction. The resultant vector is found…

Q: What are the components of the following Vector?  D = 30.0 km @ 70.0 degrees below +x-axis

A: Given: The vector has magnitude D = 30 km. Angle with +x axis = 70 degree clockwise direction.

Q: A treasure hunter following a map walks 11 meters south, 9 meters east, 2 meters north, and 4 meters…

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Q: Consider the two vectors, A= 17x+11.5y, B= 4.5x-3.5y a. What is the magnitude of the vector 3A+B?…

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Q: What is the y-component of vector B if it has an angle of 30 degrees with a positive x-axis?

A: Here given a vector B which is making an angle 30° with the positive x -axis. We have to find the…

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

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Q: Given the ff vectors : A = 5 km, East ; B = 8 Km west ;C = 7 km, south ;D = 4 km, north ; E = 9 km,…

A: We have given the five vectors  is given as  A→= 5i^ km  &    C→= -7 j^ km B→= -8i^ km  &…

Q: Vector A has a magnitude of 8 units and makes an angle of 45.0 degrees with the positive x-axis.…

A:

Q: ector A has components ??=−10.4 and ??=10.4 What is the magnitude of this vector? Find the angle θ…

A: Vector A can be written as; A=-10.4i→+10.4j→

Q: The baseball diamond is a square with sides 27.4m (90 ft) long. If the positive x axis points from…

A: Given data The parameter of the square is given as a = 27.4 m. The initial point for the baseball…

Q: A ship captain is sailing through the Pacific Ocean. He started from a harbor in Hawaii and…

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Q: If Vector A is 50cm, Vector B is 30cm and Vector C is 20cm, then how would a graphical…

A: The vector T is the sum vectors A, B and C

Q: Vector A points to the north and has length A. Vector B points to the east and has length of B=2.5A.…

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Q: He walks 2.0 km north, then turns and walks 4.0 km south of east. What is his displacement vector?…

A: Write the given values with suitable variables. d1=2 kmd2=4 km Here, d1 denotes the distance in the…