contestada

Given that vector u has an initial point of (2,-1 ) and a terminal point of (3, 1) and vector v = (- 6, 7) , find v - u.

Respuesta :

absor201

Answer:

v-u = (-7,5)

Step-by-step explanation:

Given

u has an initial point of (2,-1 ) and a terminal point of (3, 1)

And

v = (-6,7)

First of all we have to find the vector u. for this purpose the initial point is subtracted from the termination point.

Let

[tex]P_1 = (2,-1)\\P_2 = (3,1)\\then\\u = P_2-P_1\\= (3,1) - (2,-1)\\= (3-2, 1+1)\\=(1,2)[/tex]

The vector u is (1,2)

Now we have to find v-u

So,

[tex]v-u = (-6,7) - (1,2)\\= (-6-1,7-2)\\=(-7,5)[/tex]

Hence,

v-u = (-7,5)