Question

What is the magnitude of the position vector whose terminal point is (6, -4)?

Answer 1

2√13

Explanation:

The distance formula is useful for this. One end of the vector is (0, 0), so the measure of its length is ...

d = √((x2 -x1)² +(y2 -y1)²) = √((6 -0)² +(-4-0)²)

= √(36 +16) = √52 = √(4·13)

d = 2√13 = |(6, -4)|