A plane flies from base camp to lake A, a distance of 280 km at a direction of 20.0° north of east.  After dropping off supplies, the plane flies to lake B, which is 190 km and 30.0° west of north from lake A.   Find the distance and direction from the base camp to lake B by using the component method of vector addition.

Q: Find the vector sum of A and B if A is 6.5km, south, and B= 4.0 km, 45 degrees south of east

A: Resultant of two vector can be determined by parallelogram law of vector.

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: force vector has components given by Fx = −7.20 N and Fy = 4.95 N. Find the following. (a) the…

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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: Analyze the following vector system and calculate the magnitude and direction of the resulting…

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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: 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: 15m, 45 degrees + 5m, 315 degrees + 10m, 240 degrees

A: A vector can be written as A̅ =Ax î +Ay ĵ

Q: A cruise ship leaving a port travels 50 km and 45 degrees north of west and then 70 km and 70…

A: First the ship travels from A to B and then B to C. AB→=50 km-cos45oi^+sin45oj^BC→=70…

Q: A is along the +X-axis and vector Bis along the +y-axis. Which one of the following statements is…

A: According to question we need to find that which statement is correct.

Q: In a two-dimensional plane, vector A is 3 meters due east and vector B is 5 meters, due 36.87…

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Q: Vector  A has a magnitude of 72 units and  point due west while  Vector  B has the same  magnitude…

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

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Q: Vector V with magnitude | V | forms an angle with the positive x-axis. Give the magnitude of the…

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Q: If a vector  has components Ax = -4 and Ay = -3, then  lies in the ______________. a. 2nd quadrant…

A: We need to tell where this given vector lies (which quadrant).

Q: Two displacement vectors when added produce a resultant vector of magnitude 50.0 km pointing 60.0°…

A: We will first break the vectors into the component in the perpendicular axes. We split them in the X…

Q: The x- and y-components of a vector are: vx = 2.0 m/s, vy = -6.0 m/s.  Find the magnitude of the…

A: Given: horizontal x component of velocity vx=2.0 m/s. vertical y component of velocity vy=-6.0 m/s.

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

A: Please see the answer below.

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: Using component method, find the resultant vector of the following: a. 3m (North) and 10m (West) b.…

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Q: Let 0 be the angle that a vector to make with the x - axis and measured counter clockwise from that…

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Q: You are adding two vectors, one has a magnitude of 25 and the other has a magnitude of 10. Which of…

A: Given: Magnitude of a→=25. Magnitude of b→=25.   To find: The resultant vector.

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 and direction of the resultant vector using the analytical method.…

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Q: Use the component method of vector addition to find the components of the resultant of the four…

A: A = 2.25 cos 60 degree i + 2.25 sin 60 degree j B = 6.35 cos 20 degree i - 6.35 sin 20 degree j c =…

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

A: Given value--- F1= 25 newtons 50 degrees north of east. F2 = 16 newtons 75 degrees south of east.…

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: Calculate the x-component and the y-component (in m) of the vector with magnitude 18.0 m and…

A: Given data :  Magnitude of vector = 18.0 m Angle (θ) = 20.0°

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

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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: 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: An ocean liner leaves New York City and travels 16.2° north of east for 117 km. How far east and how…

A: a) The distance travelled along East direction is    DEast=(117 km)cos16.2o           =112 km

Q: If a vector v has a magnitude 10.0 and makes an angle of 30° with the positive y-axis, find the…

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Q: The x-component and the y-component of the vector with a magnitude of 25.0 m and a direction of…

A: The x component of any vector a is,  ax=acosθ The y component of vector a is,  ay=asinθ Here, a is…

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 D is in the direction 34.0 deg clockwise from the -y-axis. The x- component of Vector D is…

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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: What is the magnitude, X (in m2), of the cross product of a vector of magnitude 7.2 m vector…

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Q: Vector A has a magnitude of 6.0 m and points 30° north of east. Vector B has a magnitude of 4.0 m…

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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…

A: A⇀+B⇀=5.80 cmcos60°i^+5.80 cmsin60°j^+5.80 cmcos-60°i^+5.80 cmsin-60°j^=2.90 cmi^+5.02 cmj^+2.90…

Q: Vector A has a magnitude of 12.0 units and makes an angle of 30° with the positive x-axis. Vector B…

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Q: In a two-dimensional plane, vector A is 3 meters due east and vector B is 5 meters, due 36.87…

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

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Q: Determine the magnitude and direction of the resultant force. Express the resultant force using…

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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: Calculate (a) the x-component and (b) the y-component of the vector with magnitude 24.0 m and…

A: Given data:  Magnitude of a vector (A) = 24.0 m Direction (θ) = 56.0° Required: The x-component and…

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

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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…

Scalars and Vectors

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