Calculate the resultant of a horizontal vector with a magnitude of 4 units and a vertical vector with a magnitude of 3 units. How does the resultant compare with the hypotenuse of a right triangle having sides of 3 and 4 units?

Q: A vector has a horizontal component of -10 and vertical component of 20, what is the magnitude of…

A: Given, the x-component of velocity, v→x=-10i^ms the x-component of velocity, v→y=20j^ms So, the…

Q: Unit vector is equal to:  a.   Vector divided by its magnitude.  b.   Magnitude divided by its…

A: The quantity which comprises of magnitude as well as direction, is referred to as vector quantity. A…

Q: A force of 189 pounds makes an angle of 84°22' with a second force. The resultant of the two…

A: Let the first force = F F→ = 189 lb i^θ12 = 84o22'= 84o + (2260)o = 84.367oLet the magnitude of…

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

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Q: Consider the vector whose x- and y-components are given to be 4.3761 and -1.4844, respectively. Find…

A: Given  x component of vector =4.3761 y component of vector = -1.4844

Q: Vector A is 30 N and Vector B is 40 N, What angle does Vector A make with Vector B when the…

A: The angle does the vector A make with vector B is, R2=A2+B2+2ABcosθR2-A2-B2=2ABcosθcosθ=R2-A2-B22AB

Q: Consider the vector whose x-andy-components are given to be 2 4681 and -4.0584 respectively. Find…

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Q: Consider the vector whose x- and y-components are given to be -1.8558 and -3.9712, respectively.…

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Q: Vector A of magnitude 5.0 units has a horizontal component of 2.0 units. (a) Find the angle that…

A: Magnitude of vector A = 5 units Horizontal component of vector A = 2 units

Q: Add each component Vectors to find a Resultant Vector and label it as "R.". 1. 2. R. 3. 6. 7. 8. 5.

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Q: Let's Appraise The magnitude of a vector F is 10 units and the direction of the vector is 60°…

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Q: calculate the x component and the y component of the vector with magnitude 24 degrees and direction…

A: We are assuming that the given angle is the angle made by the vector above the positive x-axis and…

Q: Add each component Vectors to find a Resultant Vector and label it as "R.". 1. 2. 6. 5. R R. 7. 8.…

A: The vectors can move along their line of action.  In the first step, move the vectors in such a way…

Q: If a vector X is directed at an angle of 30 degrees to the positive X axis and vector Y is directed…

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Q: How is the resultant vector being calculated?

A: Vectors are physical quantities that have both magnitudes as well as direction.  Let A and B are two…

Q: A vector is 14.4 m long and points in a 133 degree direction. Find the y-component of the vector.…

A: Given data: Magnitude of vector (A) = 14.4 m Angle from positive x-axis in counter clockwise…

Q: Select the correct statement for: “If the vector has a magnitude of 25 meters and make an angle of…

A: The magnitude of a vector is the length of the vector and the angle is the orientation from the axis…

Q: What is difference between a polar vector and an axial vector?

A: If a physical quantity have both magnitude and direction, then it is called vector.

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: A force F1 = 4.90 N North and a force F2 = 9.80 N Southwest are added. The resultant vector is…

A: F1 = 4.90 N due north F2 = 9.80 N due south west

Q: The magnitude of vector A is 23.0 units and points in the direction 300° counterclockwise from the…

A: Magnitude of vector A→ = 23 units θ = 300o counterclockwise from + x axis

Q: Consider the vector whose x- and y-components are given to be 3.3710 and 3.9645, respectively.…

A: Given data-                          x component of  vector (A→) = 3.3710                          y…

Q: When vector à is added to vector B the result is the vector 3î – 4ĵ + 2k. When the vector 2à is…

A: When vector A is added to vector B, the result of the addition of these vectors is given as,…

Q: Consider the vector whose x- and y-components are given to be -1.4544 and 2.7102, respectively.…

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

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Q: The resultant vectors of A and B is 12 N perpendicular to vector A.  If vector A also has 12 N…

A: The FBD of the force system is as follows:

Q: The magnitude of a vector is 23.5 units and points in the direction 350 degrees counterclockwise…

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Q: In three vector shapes given. As seen here | a | = 20 units | B | = 40 units and | c | = 30 units.…

A: | a | = 20 units | B | = 40 units and | c | = 30 units Write the vectors in the components form  A→…

Q: If two vectors have magnitude of 5 and 12 respectively, and are right angles to each other then what…

A: Let, the two vectors be named as 'A' and 'B'  given : magnitude of vector A = 5  magnitude of vector…

Q: Consider two vectors of the same magnitude. Each is pointing at opposite directions. The resultant…

A: Given: Two vectors of the same magnitude each is pointing at opposite directions.   To find: The…

Q: Vector  A  has a magnitude of 23 units and points in the positive y-direction. When vector  B  is…

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Q: Consider the vector whose x- and y-components are given to be 4.8969 and -2.7559, respectively. Find…

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Q: Find the magnitude of the vector whose x- and y-components are given to be 4.7566 and -4.7704,…

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Q: Calculate the magnitude of the horizontal and vertical components of a vector that is 100 units long…

A: x component of a vector = A Cos θ  y component of a vector = A Sin θ

Q: A vector has an x component of -24.5 m and a y component of 31.9 m. Find the magnitude and direction…

A: 1st part solution:

Q: Consider the vector whosex-and y-components are given to be 2.9588 and 2.6045, respectively.…

A: The x component of the vector is given to be x=2.9588 and the y component of the vector is given to…

Q: What is the standard diretion of a vector with respect to positive axis if its direction is 30…

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Q: A vector has a horizontal component of -26 and vertical component of 10, what is the magnitude of…

A: Given data:  Horizontal component (Fx) = -26 Vertical component (Fy) = 10 Required: The magnitude of…

Q: Consider the vector whose x- and y-components are given to be -1.6574 and -4.6177, respectively.…

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Q: Using graphical approach in vector additon and a scale of 1cm:0.5Km, what is the resultant vectors…

A: Here we have given graphical sacale 1cm : 0.5km That 1cm is equivalent to 0.5km.

Q: A vector has an x component of -24.0 units and a y component of 45.0 units. Find the magnitude and…

A: Given:- a vector has an x component of 24 unit  The y component of 45 unit  Find :- The magnitude…

Q: A vector has an x-component of −27.0 units and a y-component of 49.0 units. Find the magnitude…

A: The magnitude of the vector is define as the square root of the coefficient of the components…

Q: If the x-component of a vector is 3m and the y-component of the same vector is 4m, then what is the…

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Q: A vector has an x component of -26.5 units and a y component of 38.6 units. Find the magnitude and…

A: Given  X component of vector-26.5units Y component of vector 38.6 units

Q: Find the y-component of this vector: 92.5 m 32.0° Remember, angles are measured from the +x axis.…

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Q: Using the Pythagorean theorem and the graphical method, calculate the resultant vector of the…

A: Given that,V1=3 msv2=4 msv3=6 ms

Q: that has components of both negative signs must

A: Vector are those quantities in physics which has magnitude and direction both. Magnitude defines the…

Scalars and Vectors

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