Question

Vector u has its initial point at (-7, 2) and its terminal point at (11, -5). Vector v has a direction opposite that of vector u, and its magnitude is three times the magnitude of u. What is the component form of vector v?

Answer 1

Hey

Assuming two position vectors :

$\vec{a} = - 7 \hat{i} + 2 \hat{j}$
$\vec{b} = 11 \hat{i} - 5 \hat{j}$

Hence, the resultant vector is =

$\vec{r} = 4 \hat{i} - 3 \hat{j}$

And so,

$\vec{s}= - 3 \vec{r} = - 12 \hat{i} + 9 \hat{j}$

Hence, 's' is the resultant vector ^^"