Two friends are trying to pull a car out of a ditch. They apply forces, measured in pounds, of F₁ = 400i + 150j + 150k and F₂ = 300i + 100j + 250k, respectively, to the car, but it does not move. Find F3, the force of friction from the mud and ground preventing the car from becoming unstuck. (Give your answer using component form or standard basis vectors. Express numbers in exact form. Use symbolic notation and fractions where needed.) F3

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Two friends are trying to pull a car out of a ditch. They apply forces, measured in pounds, of F₁ = 400i + 150j + 150k and
F₂ = 300i + 100j + 250k, respectively, to the car, but it does not move. Find F3, the force of friction from the mud and ground
preventing the car from becoming unstuck.
(Give your answer using component form or standard basis vectors. Express numbers in exact form. Use symbolic notation and
fractions where needed.)
F₁ =
Transcribed Image Text:Two friends are trying to pull a car out of a ditch. They apply forces, measured in pounds, of F₁ = 400i + 150j + 150k and F₂ = 300i + 100j + 250k, respectively, to the car, but it does not move. Find F3, the force of friction from the mud and ground preventing the car from becoming unstuck. (Give your answer using component form or standard basis vectors. Express numbers in exact form. Use symbolic notation and fractions where needed.) F₁ =
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