SkylarH35850 SkylarH35850
  • 03-11-2022
  • Mathematics
contestada

The coordinates of the terminal point of the vector <9,4> with its initialpoint is at (-3, 2) is (a, b). State the value of a + 2b. *

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BentonZ217065 BentonZ217065
  • 03-11-2022

Answer:

[tex]a+2b=18[/tex]

Step-by-step explanation:

The vector in component form is given as:

[tex][/tex]

Therefore, if the vector <9,4> has initial point at (-3, 2), to find the terminal point:

[tex]\begin{gathered} 9=x_2-(-3) \\ 4=y_2-2 \end{gathered}[/tex]

Solve for x2 and y2.

[tex]\begin{gathered} x_2=9-3=6 \\ y_2=4+2=6 \end{gathered}[/tex]

Terminal point (a,b) would be (6,6), hence the value of a+2b:

[tex]\begin{gathered} a+2b=6+2(6) \\ a+2b=18 \end{gathered}[/tex]

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