A vector (t) has an initial point of (3,−4). The components of this vector are t=(6,−2). What is the terminal point of vector t?

The terminal point of vector t is (9 , -6)

Step-by-step explanation:

Let the coordinates of the terminal point of the vector t are (x , y)

∵ The components of the vector t = (6 , -2)

- The components of the vector are the difference between the

   coordinates of the terminal point and the initial point

∵ The initial point = (3 , -4)

∴ 6 = x - 3  and -2 = y - (-4)

∵ 6 = x - 3

- Add 3 to both sides

∴ 9 = x

∵ -2 = y - (-4)

∴ -2 = y + 4

- Subtract 4 from both sides

∴ -6 = y

∴ The terminal point of vector t is (9 , -6)

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