Answer :
The component form of the vector v is < 99.9 cos(68.6°), 99.9 sin(68.6°) >
To find the component form of the vector v, we need to use the magnitude and direction angle provided.
The magnitude of the vector v is given as 99.9. This represents the length or size of the vector.
The direction angle, θ, is given as 68.6°. This angle represents the direction in which the vector is pointing.
In the component form of a vector, the first component represents the magnitude of the vector in the x-direction, and the second component represents the magnitude in the y-direction.
To find the x-component of the vector, we use the formula: magnitude * cos(angle). Substituting the given values, we have: 99.9 * cos(68.6°).
To find the y-component of the vector, we use the formula: magnitude * sin(angle). Substituting the given values, we have: 99.9 * sin(68.6°).
Therefore, the component form of the vector v is < 99.9 cos(68.6°), 99.9 sin(68.6°) >.
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