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.

,

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:

- 2 + 10x³ - 21x² + 19x - 4

step-by-step explanation:

each term in the second factor is multiplied by each term in the first factor

x²(- 2x² + 4x - 1) - 3x(- 2x² + 4x - 1) + 4(- 2x² + 4x - 1) ← distribute

= - 2 + 4x³ - x² + 6x³ - 12x² + 3x -8x² + 16x - 4

collect like terms

= - 2 + 10x³ - 21x² + 19x - 4 ← in standard form

answer: b.

step-by-step explanation:

the y coordinate for point b is 0, and answer b is the only one with that y coordinate.