Determine the magnitude ad direction of the vector

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SUMMARY

The discussion focuses on solving vector problems, specifically determining the unit-vector notation, magnitude, and direction of vector A, which has a negative x component of 3.00 units and a positive y component of 2.00 units. The expression for vector A in unit-vector notation is given as A = -3.00i + 2.00j. The magnitude of vector A is calculated using the Pythagorean theorem, resulting in a magnitude of 3.61 units, and the direction is determined using trigonometric functions, yielding an angle of approximately 180.95 degrees with respect to the positive x-axis. Additionally, the discussion addresses the need to find vector B that, when added to A, results in a vector with no x component and a negative y component of 4.00 units.

PREREQUISITES
  • Understanding of unit-vector notation in two-dimensional Cartesian coordinates
  • Knowledge of the Pythagorean theorem for calculating vector magnitudes
  • Familiarity with trigonometric functions for determining angles
  • Basic principles of vector addition and subtraction
NEXT STEPS
  • Study vector operations in physics, focusing on vector addition and subtraction
  • Learn how to apply the Pythagorean theorem in various contexts
  • Explore trigonometric functions and their applications in determining angles
  • Read introductory physics textbooks that cover vectors and their applications, such as "Physics for Scientists and Engineers" by Serway and Jewett
USEFUL FOR

Students studying physics, particularly those new to vector analysis, as well as educators looking for clear explanations of vector operations and their applications in problem-solving.

innightmare
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I am not sure on how to approach this problem:
Question:
Vector A has a negative x component 3.00 units in length and a positive y component 2.00 units in length.
a) Determine an expression for A (vector w/arrow hat)in unit-vector notation.
b)Determine the magnitude ad direction of A
c)What vector B When added to A gives a resultant vector with no x component and a negative y component 4.00 units in length?

Can you please give me pointers on how to tackle problems such as these as well as what books/solutions/or things I should do, besides from studying, that will HELP me understand physics.
Thanks!
 
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New to PF? well, questions llike this should probably goto the homework forum... anyway, welcome aboard.

Re: Vectors
you are given the x, y porjections of your vector, you are asked to
a) write your vector A in terms of unit vectors for you coord system (probably x, y-axis) so want to express \vec A = a \hat{\vec x} + b \hat{\vec y} where \hat{\vec x}, \hat{\vec y} are the unit-vectors in x, y direction. then u r asked to find |\vec A| length of vector and direction (probably means the angle it makes with the positive x-axis). Length of vector you need Pythagoras.
finally, you are asked to do some vector addition, since you have been given the x, y -comp, that's make it easy to find the required vector B (in component form), and then you can repeat the steps in a) and b) to find things like magnitude and angle for B.
 
effects of unequal charges on protons and electrons

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Elprospero@dslextreme.com
 

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