LucaL489513 LucaL489513
  • 25-10-2022
  • Mathematics
contestada

Let v be the vector from initial point P1=(−4,−9) to terminal point P2=(6,2). Write v in terms of i and j.

Let v be the vector from initial point P149 to terminal point P262 Write v in terms of i and j class=

Respuesta :

DavaughnP195847 DavaughnP195847
  • 25-10-2022

Step 1;

P1 = ( - 4 , -9 )

P2 = ( 6 , 2 )

Step 2:

[tex]\begin{gathered} \text{Let P}_1=(x_1,y_1)_{} \\ P_2=(x_2,y_2\text{ ) } \end{gathered}[/tex]

Step 3:

[tex]\text{v = (x}_2-x_1)i+_{}(y_2-y_1\text{ ) j}[/tex]

Step 4:

[tex]\begin{gathered} \text{v = (x}_2-x_1)i+_{}(y_2-y_1\text{ ) j} \\ \text{v = (6}-(-4))i+_{}(2-(-9)\text{) j} \\ v\text{ = (6+4)i + (2 + 9)j} \\ v\text{ = 10i + 11 j} \end{gathered}[/tex]

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