Need help finding magnitude of A - B + C given 3 vectors

So, the correct answer should be 37.9 and 21.64 deg.In summary, the conversation discusses three given vectors and the task of determining the magnitude and angle of their resultant vector, A - B + C, in relation to the positive x-axis. The correct solution is 37.9 and 21.64 degrees, with a previous attempted answer of 44.6 and -9.96 degrees due to a sign error.
  • #1
iadg87
2
0
You are given three vectors.
A = 46.0 at θ1 = 56.6° above the +x axis
B = 25.0 at θ2 = 34.4° above the −x axis
C = 32.0 along the −y axis.Determine A - B + C (magnitude and angle from the positive x axis).
Determine the angle relative to the positive x-axis, positive above and negative belowI have attempted the solution many times and ended up with 44.6 and -9.96 deg. but it is incorrect
Screen Shot 2015-09-22 at 10.41.39 PM.png


Any help would be appreciated!

Regards,
 
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  • #2
Looks like you've made a simple sign error. You have the correct sign for the vector B's components, but then you added the values for the resultant's x component rather than subtracting.
 

Related to Need help finding magnitude of A - B + C given 3 vectors

1. What is the equation for finding the magnitude of a vector?

The equation for finding the magnitude of a vector is: magnitude = √(x^2 + y^2 + z^2), where x, y, and z are the components of the vector.

2. How do you find the magnitude of a vector in component form?

To find the magnitude of a vector in component form, you would first square each component, then add them together, and finally take the square root of the sum.

3. What is the difference between magnitude and magnitude squared?

The magnitude squared of a vector is the sum of the squares of its components, while the magnitude of a vector is the square root of the sum of the squares of its components. In other words, magnitude squared is the result of the Pythagorean theorem, while magnitude is the actual length of the vector.

4. How do you find the magnitude of a vector given its components?

To find the magnitude of a vector given its components, you would use the equation: magnitude = √(x^2 + y^2 + z^2), where x, y, and z are the components of the vector.

5. Can you find the magnitude of a vector given its direction and length?

Yes, you can find the magnitude of a vector given its direction and length. First, you would use trigonometry to find the components of the vector, and then use the equation: magnitude = √(x^2 + y^2 + z^2) to find the magnitude.

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