Calculating Magnitude of Resultant Vector for X Added to Y = 12i -16j

Thread starter tommy2st
Start date Aug 29, 2011
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Resultant Resultant vector Vector

AI Thread Summary

To find the magnitude of vector X added to vector Y = 12i - 16j, the resultant vector must lie along the positive x-axis and equal the magnitude of X. This implies that the y-component of the resultant must be zero, leading to the equation -16 + Y_y = 0, where Y_y is the y-component of vector Y. Solving for the magnitude of X involves using the Pythagorean theorem, considering the components of Y. The calculations suggest that the correct magnitude of X is approximately 20.7. The problem emphasizes understanding vector addition and the conditions for resultant vectors.

Aug 29, 2011

tommy2st

Homework Statement

Points: 3)
A vector X is added to vector Y = 12i -16j. The resultant vector lies along the positive x-axis and has the same magnitude as X. What is the magnitude of X?

a. 20.7

b. 16.7

c. 11.3

d. 4.7

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Aug 29, 2011

daveb

What have you done so far to work this out? What are you stuck on?

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