Vector Help. Calc based Physics 1

Click For Summary
SUMMARY

This discussion focuses on vector calculations in physics, specifically ranking vectors by magnitude and determining the resultant vector for a quarterback's throw. Participants are tasked with ranking vectors such as 2i+7j-4k and 3i+j-k, and calculating the distance and angle for a throw based on given displacements. Key equations include vector magnitude calculations and the use of Cartesian coordinates for vector representation. The conversation highlights common pitfalls in understanding vector subtraction and angle determination.

PREREQUISITES
  • Understanding of vector notation and operations (e.g., i, j, k components)
  • Familiarity with vector magnitude calculations (e.g., |v| = √(x² + y² + z²))
  • Knowledge of Cartesian coordinate systems in physics
  • Basic trigonometry for angle calculations in vector analysis
NEXT STEPS
  • Study vector addition and subtraction in physics
  • Learn how to calculate the angle of a vector using trigonometric functions
  • Explore vector magnitude and direction in three-dimensional space
  • Practice problems involving vector displacement and resultant vectors
USEFUL FOR

This discussion is beneficial for physics students, educators, and anyone involved in vector analysis, particularly in the context of mechanics and kinematics.

dukebdx12
Messages
9
Reaction score
0

Homework Statement



Rank from largest to smallest:
2i+7j-4k , 3i+j-k , 7i - 2j +4k , 4i + 7j - 3k
Explain please

Homework Equations





The Attempt at a Solution


Don't understand how and what to look for


Homework Statement



A receiver starts at +2i - 3j with the units being expressed in yards. i is the the right and j is downfield. The receiver goes +9.0i +12j , -6i +4.0j , +12.0i + 18j and the quarterback drops back -7.0j.
How far must the quarterback throw the ball?
In which direction must the quarterback throw the ball? In degrees


Homework Equations





The Attempt at a Solution


I have drawn it and the 2 answers I came up with are 41 and 38 yards. Neither are right. I don't know how to find the angle.

Homework Statement


Ax = +5.7 Bx = -9.8
Ay = -3.6 By = -6.5

The magnitude of the vector difference , is closest to:
16,11,250

The Attempt at a Solution


I have tried 5 and -5 and right now looking at my paper I forgot the equation I used but it must have been wrong
 
Last edited:
Physics news on Phys.org
Q1. These are vectors. Vectors have magnitudes and directions. On what basis do you think they should be arranged?

Q2. Vector displacement of ball = Recvr's posn vector - Qbacks's posn vector. How do you find the magnitude and angle with the, say x-axis, of a Cartesian vector?

Q3. Vector A = Axi + Ayj etc. Subtract and find the magnitude of the resulting vector.
 
Q1. |v| = \sqrt{x^2+y^2+z^2} It's fairly easy to prove if you don't believe me.
 

Similar threads

Projectile Motion of football receiver
  • · Replies 9 ·
Replies
9
Views
5K
Acceleration Vector Word Problem
  • · Replies 4 ·
Replies
4
Views
2K
How Should a Quarterback Throw to Hit a Stationary Receiver?
  • · Replies 3 ·
Replies
3
Views
4K
How far must the quarterback throw the ball?
  • · Replies 3 ·
Replies
3
Views
9K
Finding the Scalar Triple Product of Three Vectors
  • · Replies 2 ·
Replies
2
Views
1K
Find Moment Around A with 3D Vectors: B & C
  • · Replies 3 ·
Replies
3
Views
2K
A quarterback throws a football to a stationary receiver
  • · Replies 5 ·
Replies
5
Views
5K
Physics 221 Calc-based question for homework
  • · Replies 23 ·
Replies
23
Views
3K
Calculate 2C*(3AxB) for Vectors A, B, and C
  • · Replies 3 ·
Replies
3
Views
16K
Calculating the velocity and acceleration given vector velocity at 1 second
  • · Replies 52 ·
2
Replies
52
Views
5K