$\"\"$

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The car weight is the force exerted due to gravity and can be represented by the force vector $\"\"$ .

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The force required to keep the car from rolling is $\"\"$ .

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Project $\"\"$ onto a unit vector $\"\"$ in the direction of the side of the incline to solve for the weight of the car.

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Find a unit vector $\"\"$ in the direction of the side of the incline.

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$\"\"$

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$\"\"$

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$\"\"$ .

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Find the projection of $\"\"$ onto the unit vector $\"\"$ , $\"\"$ .

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$ .

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$\"\"$

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The force required is $\"\"$ .

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Since $\"\"$ is a unit vector, the magnitude of the force required to keep the car stationary is $\"\"$ .

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Solve for $\"\"$ .

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$ .

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The car weighs about $\"\"$ .

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$\"\"$

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The car weighs about $\"\"$ .