Question

is vector v with an initial point of (-5,22) and a terminal point of (20,60) equal to vector u with an intintal point of (50,120) and a terminal point of (75,158)

Answer 1

Yes, they are equal (D)

Explanation:

Just took the practice

Answer 2

Yes, vectors u and v are equal.

Explanation:

We need to check whether vectors u and v are equal or not.

If the initial point is
`(x_1,y_1)` and terminal point is
`(x_2,y_2)`, then the vector is

`Vector=(x_2-x_1)i+(y_2-y_1)j`

Vector v with an initial point of (-5,22) and a terminal point of (20,60).

`\overrightarrow v=(20-(-5))i+(60-22)j`

`\overrightarrow v=25i+38j` ..... (1)

Vector u with an initial point of (50,120) and a terminal point of (75,158).

`\overrightarrow u=(75-50)i+(158-120)j`

`\overrightarrow u=25i+38j` .... (2)

From (1) and (2) we get

`\overrightarrow u=\overrightarrow v`

Therefore, vectors u and v are equal.