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?

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

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

the correct option is 2.

step-by-step explanation:

according to the given information triangle abc is a right angle triangle with right angle at a. segment ab is 5 and segment ac is 7. point d is on segment bc and angles adb and adc are right angles.

it is given that triangles abd, cad, and cba are similar.

two triangles are similar if their corresponding sides are proportional.

in triangle cba, using pythagoras theorem

                      )

triangle abd and cba are similar,

                            (2)

triangle cad and cba are similar,

                      )

using (1), (2) and (3), we get

hence proved.

therefore option 2 is correct.