Finding the resultant of two vectors

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Homework Help Overview

The discussion revolves around finding the resultant of two vectors, S and T, defined by their magnitudes and angles relative to the x-axis. The problem involves resolving these vectors into their rectangular components.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss sketching right triangles to visualize the vectors and suggest using trigonometric functions to find the components. Questions arise regarding the determination of angles in the triangles formed, particularly in relation to complementary angles.

Discussion Status

There is an ongoing exploration of the problem, with participants offering guidance on using trigonometric functions and addressing questions about angles. Some participants seek clarification on the geometric relationships involved.

Contextual Notes

One participant notes the need for a complete problem statement template to facilitate further assistance. There is an emphasis on understanding the angles in the context of right triangles.

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Homework Statement


S is a vector 24.3 units in magnitude and points at an angle of 54.8 degrees below the negative x-axis. T is a vector 18.8 units in magnitude and points at an angle of 37.7 degrees above the positive x axis. Find the resultant of the two vectors by resolving into rectangular components.

Homework Equations


The Attempt at a Solution

 
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Sketch right triangles involving S and T and use cosine and sine to find each vector's x and y components. Then add the components.
 
How do I know what the other angles are aside from 90 degrees?
 
You can use the tangent to find them, since you know the length of the adjacent and opposite sides.
 
eddiedowen said:
How do I know what the other angles are aside from 90 degrees?
The problem statement gives one of the angles of each triangle. Did you remember that the complementary angles of a right triangle sum to 90 degrees?
 
Eddie, you need to complete the template before we can help you.
 

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