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

Answer:

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

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

Step-by-step 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:

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