Question

Vectors a = (2, 4) , b = (−1, 2), and c = (c1, c2) all have the initial point at the origin, what are the coordinates of their terminal points? Vectors a = (2, 4) , b = (−1, 2), and c = (c1, c2) all have the initial point at the origin, what are the coordinates of their terminal points?

Answer 1

A(2,4), B(-1,2). and C
`(c_1,c_2)`

Explanation:

If a vector has terminal point with coordinates P(x,y) and an initial point at the origin (0,0), then

`\vec{p}=\binom{x}{y}-\binom{0}{0}\\\implies \vec{p}=\binom{x}{y}`

Therefore if

`\vec{a}=\binom{2}{4}\\ \vec{b}=\binom{-1}{2}\\\vec{c}=\binom{c_1}{c_2}`

Then the coordinates of their terminal points are A(2,4), B(-1,2). and C
`(c_1,c_2)`