Question

vector u is represented by the directed line segment RS and vector v is represented by the directed line segment OP. if R=(8,-2) , S=(11,-6), O=(-3,-9), and P=(0,-13), are u and v equal?

Answer 1

The given points are

R=(8,-2) , S=(11,-6), O=(-3,-9), and P=(0,-13)

To find the value of u and v, we have to perform subtraction of the points . That is

$u= RS =<11-8,-6-(-2)> = <3, -4>$

$v = OP = <0-(-3),-13-(-9) > = <3,-4>$

Since we get the same values of u and v , therefore the two vectors are equal .