Question

The vector v with initial point (0,0) is shown below. Write v in the form v=a i + b j, where a and b are integers.

Answer 1

Answer:

$v=-3i+5j$

Step-by-step explanation:

In the representation of a vector we must take into account the coordinate in which its tip is located.

In this case the vector tip is at $(-3,5)$ and starts at the coordinate origin.

When expressing a vector in the following form:

$v = ai + bj$

the numbers $a$ and $b$ represent the components of the vector, that is, the vector measurements when projecting it onto the axes.

The number that accompanies i ($a$) is the component of the vector on the x-axis, in this case it is 3 units:

$a = -3$

And the number that accompanies j ($b$) is the component of the vector in the y-axis, in this case 5:

$b = 5$

thus, the result is is:

$v=-3i+5j$