Question

You are given a vector in the xy plane that has a magnitude of 83.0 units and a y component of -68.0 units. A)What are the two possibilities for its x component? B)Assuming the x component is known to be positive, specify the magnitude of the vector which, if you add it to the original one, would give a resultant vector that is 80.0 units long and points entirely in the −x direction. C)Specify the direction of the vector.

Answer 1

Given that magnitude of vector A=83.0 units.

and y component of vector A = -68.0 units

A)What are the two possibilities for its x component?

Magnitude

ANSWER :

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B)Assuming the x component is known to be positive, specify the magnitude of the vector which, if you add it to the original one, would give a resultant vector that is 80.0 units long and points entirely in the −x direction.

Original vector,

Given resultant vector

Rearrange i and j terms

Equate i terms

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Equate j terms

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Required Vector

Magnitude

ANSWER :

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Direction

ANSWER:

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