A vector t has initial point (-5,-2) and terminal point (-3,4).
Write t in the form t=ai+bj.
moved how much in x direction?
-3 - (-5) = +2
how much in y direction?
4 - (-2) = +6
so
t = 2 i + 6 j
A vector
s
has initial point
,
−
3
−
2
and terminal point
,
−
6
−
1
.
Write
s
in component form.
A vector t has initial point , −53 and terminal point , 12.
Write t in the form
To write the vector t in the form t = ai + bj, we need to find the values of a and b.
Given that the initial point of t is (-5, -2) and the terminal point is (-3, 4), we can find the components of t using the following formula:
t = (x₂ - x₁)i + (y₂ - y₁)j
Here, (x₁, y₁) represents the initial point and (x₂, y₂) represents the terminal point.
Plugging in the values, we have:
t = (-3 - (-5))i + (4 - (-2))j
t = (2)i + (6)j
Therefore, vector t can be written in the form t = 2i + 6j.