What Are the Components of These Two Vectors?

Vector A and Vector B, and the resultant of these two vectors in terms of components, as well as the resultant in terms of magnitude and direction. In response, the poster suggests drawing each vector in its own coordinate axis and using trigonometry to break it down into its components. They also suggest using this information to make sense of the given questions. In summary, the poster advises using trigonometry to find the components and resultant of the given vectors.
  • #1
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Homework Statement



Vector A is 3.28 m long and points along the x axis. Vector B is 190.6 cm long and points at +25° to the positive x axis
(a) What are the components of Vector A?
(b) What are the components of Vector B?
(c) What is the resultant of these two vectors in terms of components?
(d) What is the resultant of these two vectors in terms of magnitude and direction

Homework Equations


I think we are trying to find Ax, Ay, Bx, and By


The Attempt at a Solution


I am not certain on where to begin here, any help would be good, thanks!
 
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  • #2
Try drawing each vector in its own coordinate axis first with repsect to the origin. The magnitude of vectors will always be the norm or hypentenuse of a right triangle. Since you are given an angle with respect to the horizontal axis and a magnitude, you can use trig to break it apart into its components. Try that and see if you can't make sense of (c) & (d) from that relationship.

Joe
 

FAQ: What Are the Components of These Two Vectors?

What are the different components of a vector?

The components of a vector are the magnitude, direction, and position.

How is the magnitude of a vector calculated?

The magnitude of a vector is calculated using the Pythagorean theorem, where the length of the vector is found by taking the square root of the sum of the squared components.

What is the difference between a scalar and a vector?

A scalar is a quantity that has only magnitude, while a vector has both magnitude and direction.

Can the direction of a vector change?

Yes, the direction of a vector can change without changing its magnitude.

How are vector components used in physics?

Vector components are used to represent physical quantities, such as force and velocity, that have both magnitude and direction. They are also used in vector operations, such as addition and subtraction, to solve problems in physics.

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