Question

Find 2u if vector u has initial point of (2,-1) and terminal point (3,1)

Answer 1

2u = (2,4)

Explanation:

Given that

Initial Point of vector = P1 = (2,-1)

Terminal point of vector = P2 = (3,1)

When the initial and terminal points of vector are given. The vector can either be directly found by using P2-P1 or the unit vectors i and j can be used.

So,

`u =P_2-P_1 = (3-2 , 1-(-1))\\= (1, 1+1)\\=(1,2)`

Now we have to find 2u

So,

`2u = 2(1,2) = (2,4)`

Hence,

2u = (2,4)