Determine the magnitude ad direction of the vector

AI Thread Summary
To determine vector A, express it in unit-vector notation as A = -3.00i + 2.00j, where i and j are the unit vectors in the x and y directions, respectively. The magnitude of vector A can be calculated using the Pythagorean theorem, yielding a length of approximately 3.61 units, with an angle of about 180.95 degrees from the positive x-axis. For vector B, which must result in a vector with no x component and a negative y component of 4.00 units, the required components can be derived by solving the vector addition equation. To enhance understanding of physics problems like these, studying vector mathematics and practicing with physics textbooks that focus on mechanics and vector analysis is recommended. Mastery of these concepts will significantly aid in tackling similar problems in the future.
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.
 
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