You are given a vector in the x y plane that has a magnitude of 95.0 units and a

Question

You are given a vector in the xy plane that has a magnitude of 95.0 units and a y component of -42.0 units.

QUESTION A

What are the two possibilities for its x component?

Enter your answers numerically separated by a comma.

ANSWER: ______units

QUESTION B

Assuming the x component is known to be positive, specify the vector V  which, if you add it to the original one, would give a resultant vector that is 90.0 units long and points entirely in the x direction.

Enter your answers numerically separated by a comma.

ANSWER: ______ units

Explanation / Answer

here,

magnitude , |A| = 95 units

y component , Ay = - 42 units

a)

let the x component be Ax

|A|^2 = Ax^2 + Ay^2

95^2 = Ax^2 + 42^2

Ax = - 85.2 units or 85.2 units

b)

for positive direction of x

A = 85.2 i - 42 j units

let the added vector be B

A + B = - 90 i

85.2 i - 42 j + B = - 90 i

B = - 175.2 i + 42 j units

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