Question

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. *

Answer 1

`a+2b=18`

Explanation:

The vector in component form is given as:

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

`\begin{gathered} 9=x_2-(-3) \\ 4=y_2-2 \end{gathered}`

Solve for x2 and y2.

`\begin{gathered} x_2=9-3=6 \\ y_2=4+2=6 \end{gathered}`

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

`\begin{gathered} a+2b=6+2(6) \\ a+2b=18 \end{gathered}`