Problem: Six vectors (A to F) have the magnitudes and directions indicated in the figure.a. Which two vectors, when added, will have the largest x component?b. Which two vectors, when added, will have the largest y component?c. Which two vectors, when subtracted (i.e., when one vector is subtracted from the other), will have the largest magnitude?

🤓 Based on our data, we think this question is relevant for Professor Chapagain's class at FIU.

FREE Expert Solution

Listing the components of individual vectors:

A= 2, Ay = - 3

Bx = -1, By = - 2

Cx = 2, Cy = 1 

Dx = 2, Dy = 1

Ex = -1, Ey = 2

Fx = 0, Fy = 3

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Problem Details

Six vectors (A to F) have the magnitudes and directions indicated in the figure.

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a. Which two vectors, when added, will have the largest x component?

b. Which two vectors, when added, will have the largest y component?

c. Which two vectors, when subtracted (i.e., when one vector is subtracted from the other), will have the largest magnitude?

Frequently Asked Questions

What scientific concept do you need to know in order to solve this problem?

Our tutors have indicated that to solve this problem you will need to apply the Adding Vectors by Components concept. You can view video lessons to learn Adding Vectors by Components. Or if you need more Adding Vectors by Components practice, you can also practice Adding Vectors by Components practice problems.

What professor is this problem relevant for?

Based on our data, we think this problem is relevant for Professor Chapagain's class at FIU.