Question

vectors and their components
quiz: complete
consider the points ( q(23,46) ) and ( r(7,62) ). what is the component form of ( overrightarrow{q r} ) ?
( (-16,110) )
( (-16,14) )
( (10,-14) )
( (10,110) )

Explanation:

Step1: Recall the formula for vector components

If we have two points \(Q(x_1,y_1)\) and \(R(x_2,y_2)\), the component form of the vector \(\overrightarrow{QR}\) is given by \(\langle x_2 - x_1,y_2 - y_1
angle\)

Step2: Substitute the values of \(x_1,y_1,x_2,y_2\)

Here \(x_1 = 23,y_1=46,x_2 = 7,y_2 = 62\)
\(x_2 - x_1=7 - 23=- 16\)
\(y_2 - y_1=62 - 46 = 16\)

Answer:

\(\langle-16,16
angle\) (corresponds to the second option \((-16,16)\))