Vector W is in standard position, and makes an angle of 210 degrees with the positive x-axis, it's magnitude is 8. Write W in component form (a, b), and in linear combination form, ai+bj.

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Step-by-step explanation:

If is in standard position, then its direction is counterclockwise with respect to semiaxis. A vector is defined by its magnitude and direction, that is:

(1)

Where:

- Magnitude, no unit.

- Direction, measured in sexagesimal degrees.

If we know that and , then the resulting vector is:

Which is also equivalent to: