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Can you help? This is an AP Precalc problem

Can you help? This is an AP Precalc problem-example-1

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Notice that v points into the third quadrant since both of its components are negative. If you want a vector to point in the same direction, it would need to have the same sign on its components. So C is the correct choice.

The factor of 1/√80 comes from normalizing the vector v. Its norm/magnitude is

|v| = √((-4)² + (-8)²) = √(16 + 64) = √80

so the unit vector that points in the same direction as v is simply v / |v|.

User Randy Newfield
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