Vector →A which is directed along an x axis, is to be added to the vector →B which has a magnitude of 2.5m. The sum is third vector directing along the y axis with a magnitude that is 4.10times that of a vector →A What is the magnitude of →A?

0.592 m

Explanation:

Let i and j be the unit vector in the direction of x and y respectively. And let be the x component of vector A. Therefore:

Since the resulting vector only directs along the y axis, the x component of vector B must have canceled the x component of vector A. Let be the y component of vector B. We have

So

This resulting vector has a magnitude 4.1 times vector A's, or

Substitute this into vector B equation we have

Since the magnitude of vector B is 2.5

So the magnitude of vector A is 0.592 m

1 - wave length

2 - amplitude

3 - crest

4 - trough

explanation:

duh.

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