Question

Let v be the vector from initial point Upper P 1P1 to terminal point Upper P 2P2. Write v in terms of i and j. Upper P 1P1equals=​(negative 8−8​,44​), Upper P 2P2equals=​(66​,44​)

Answer 1

The expression of
`\vec v` in terms of i and j is:

`\vec v = 74\cdot i + 0\cdot j`

Explanation:

Let
`\vec P_(1)` and
`\vec P_(2)` vectors with respect to origin, so that
`\vec P_(1) = (-8,44)` and
`\vec P_(2) = (66,44)`.
`\vec v` is a vector of the form:

`\vec v = \vec P_(2) - \vec P_(1)`

Then,

`\vec v = (66,44)-(-8,44)`

`\vec v = (66 + 8, 44 - 44)`

`\vec v = (74, 0)`

The expression of
`\vec v` in terms of i and j is:

`\vec v = 74\cdot i + 0\cdot j`