Finding Magnitude and Direction using Component Method?

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SUMMARY

The discussion focuses on calculating the magnitude and direction of resultant vectors using the component method. Given three displacement vectors A = (-2i + 3j) m, B = (2i + 7j) m, and C = (-7i + 5j) m, participants are tasked with finding the resultant vector D = A + B + C and E = -A - B + C. The required outputs include the magnitudes |D| and |E|, as well as their respective angles θ from the +x axis.

PREREQUISITES
  • Understanding of vector addition and subtraction
  • Familiarity with Cartesian coordinates and unit vectors
  • Knowledge of trigonometric functions for angle calculation
  • Ability to compute vector magnitudes
NEXT STEPS
  • Learn how to perform vector addition using the component method
  • Study the calculation of vector magnitudes and angles in two dimensions
  • Explore the use of trigonometric functions to determine angles from vector components
  • Practice problems involving multiple vectors to solidify understanding
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OUmecheng
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Homework Statement

Consider the three displacement vectors A = ( -2i + 3j ) m, B = ( 2i + 7j ) m, and C = ( -7i + 5j ) m. Use the component method to determine the following.

(a) The magnitude and direction of D = A + B + C
|D| = ___ m
θ = ___° (from the +x axis)

(b) The magnitude and direction of E = -A - B + C

|D| = ___ m

θ = __° (from the +x axis)

The Attempt at a Solution

I don't even know where to begin.
 
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OUmecheng said:

Homework Statement



Consider the three displacement vectors A = ( -2i + 3j ) m, B = ( 2i + 7j ) m, and C = ( -7i + 5j ) m. Use the component method to determine the following.

(a) The magnitude and direction of D = A + B + C
|D| = ___ m
θ = ___° (from the +x axis)

(b) The magnitude and direction of E = -A - B + C

|D| = ___ m

θ = __° (from the +x axis)

The Attempt at a Solution



I don't even know where to begin.

Can you find the components of vector D?


For vector A:

Can you calculate |A|, the magnitude of A?

Can you calculate the angle which vector A make with the +x-axis?
 

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