Magnitude and Direction of Single Putt from A to D

  • Thread starter Hertzinger
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In summary, golfer Arnold Hacker required three putts to put his ball in the hole, with the first putt traveling 8.0 m south, the second putt traveling 1.2 m southwest, and the third putt traveling 0.50 m northwest. To find the magnitude and direction of a single putt from A to D, we can add the individual vector components (A→B, B→C, and C→D) to get a resultant vector of (9.7 m, -315°). This would have been the single putt that would have put the ball into the hole.
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Hertzinger
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Homework Statement



Golfer Arnold Hacker requires three putts from position A to put his ball in the hole. His first putt, from A to B, travels 8.0 m south. His second putt, from B to C, travels 1.2 m southwest. His third putt, from C to the hole at D, travels 0.50 m northwest. What would be the magnitude and direction of the single putt that would have put the ball into the hole, from A to D?

Edit: Solved

Find the individual vector components. Add them Find resultant.
 
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  • #2
Homework Equations A→B = (8.0 m, 0°)B→C = (1.2 m, -135°)C→D = (0.50 m, -270°)The Attempt at a Solution A→B = (8.0, 0°) B→C = (1.2, -135°) C→D = (0.50, -270°) A→D = A→B + B→C + C→D A→D = (8.0, 0°) + (1.2, -135°) + (0.50, -270°) A→D = (9.7 m, -315°)
 

Related to Magnitude and Direction of Single Putt from A to D

What are multiple dimensional vectors?

Multiple dimensional vectors are mathematical objects that represent both magnitude and direction in multiple dimensions. They are often used in physics, engineering, and computer graphics to represent physical quantities such as force, velocity, and acceleration.

How are multiple dimensional vectors represented?

Multiple dimensional vectors are typically represented as a sequence of numbers, where each number corresponds to a different dimension. For example, a 3-dimensional vector would have three numbers representing its x, y, and z components.

What are some common operations performed on multiple dimensional vectors?

Some common operations on multiple dimensional vectors include addition, subtraction, scalar multiplication, dot product, and cross product. These operations allow for the manipulation and comparison of vectors in various ways.

What is the significance of the magnitude and direction of a multiple dimensional vector?

The magnitude of a multiple dimensional vector represents its length or size, while the direction represents the orientation or angle of the vector. Together, these properties allow for the precise representation of physical quantities in multiple dimensions.

How are multiple dimensional vectors used in real-world applications?

Multiple dimensional vectors are used in a wide range of real-world applications, including engineering design, computer graphics, physics simulations, and data analysis. They provide a powerful tool for representing and analyzing complex systems in multiple dimensions.

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