A car is driven east for a distance of 50 km, then north for 30 km, and then in a direction 30° east of north for 25 km. Sketch the vector diagram and determine (a) the magnitude and (b) the angle of the car's total displacement from its starting point.

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

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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: Question 14 A displacement vector is 23 km in length and directed 65° south of east. What are the…

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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: Vectors A→A→ and B→B→ both have a magnitude of 8. If their resultant has a magnitude of 10, what is…

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Q: The two vectors d and b inthe figure have equal magnitudes of 12.5 m and the angles are e1 = 26° and…

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Q: magnitude of the resultant is:

A: Let, there are two vector A and B. The magnitude of these two vectors given as, In vector algebra,…

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: The figure shows three displacement vectors A B , and C .These vectors are arranged in tail-to- head…

A: To find:) magnitude and direction angle of vector A

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: under what circumstances would a vector have components that are equal in magnitude?

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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: The components of vector A'are given as follows: Ax = 10.5 Ay = 15.2. What is the magnitude of the…

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

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Q: A 5.1, = A = -5 y X B = -2.6, B = 4.3 X y

A: Given  Ax=5.1 , Ay=-5 Bx=-2.6 , By=-4.3 Required magnitude of A+B

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: What is the angle between the directions of vector A = 3.00i + 1.00j and vector B = -3.00i + 3.00j?

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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: If the x- & y-components of the Sum vector are 5.1 N and -2.5 N, respectively, the magnitude of the…

A: We know that magnitude of vector whose x and y components are a and b respectively is…

Q: Four displacement vectors of a croquet ball are shown in Figure, where A = 20.0 units, B = 40.0…

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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 vector ?⃗ = (−1.2 m)?̂+ (1.8 m)?̂. Find the magnitude and angle (between 0° and 360°, measured…

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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: Vector A has a magnitude 6 units and is in the direction of the +x axis. Vector B has magnitude 4…

A: The value of vector A is A→=6 i^ , while vector B has both vertical and horizontal components ,…

Q: Vector A has components Ax = -15.0 and A, -4.01. What is the magnitude of this vector? Find the…

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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: 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: A vector  A  has components  Ax = −3.00 m  and  Ay = 6.00 m.  Find the magnitude (in m) and the…

A: Given,

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: 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: = 15m due West To get from one office to another in a company, a man travels as follows: R = 25 m.…

A: In this question we have to determine the magnitude and direction of the resultant vector. Please…

Q: Suppose you walk 18.0 m straight west and then 25.0 m straight north. How far are you from your…

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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: Vector A has components Ax = -16.1 and A, = -4.32. What is the magnitude A of this vector? Determine…

A: The x-component of A→, Ax=-16.1 The y-component of A→, Ay=-4.32

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: Given 3 vectors: Vector 1 is 500N at 300, Vector 2 is 300N at 1500 and Vector 3 is 400N at 2700,…

A: Given: Magnitude of Vector 1 = 500 N , Angle of Vector 1 = 30o Magnitude of Vector 2 = 200 N , Angle…

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: What is the magnitude of a vector that makes an angle of 42° to the horizontal and whose y…

A: Given  Angle made by vector from horizontal  @ = 42°  Y component of vector Ay = 5 units  To find…

Q: An airplane flies with a displacement vector R. If the x-component of the plane is 152 km west and…

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Q: In the Vector Addition Lab, Anna starts at the classroom door and walks: 2.0 meters, West 12.0…

A: The displacements in either of the directions is given by 2 m in West 12 m in North 31 m in West 8 m…

Q: Determine the resultant (magnitude and direction) of the following vectors: 80 N, 55 degrees North…

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Q: If vector A=[15, 80 degrees] and vector B= 12i - 16j, then what is the magnitude of A-B?

A: Given:

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: find the resultant, magnitude, degree, and direction of the vector by graphing it using the polygon…

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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.