Question

Find an ordered pair to represent 7 in the equation 7 - 4ữ + 65 if ü - (-1, 4) and 7 - (3, - 2).
a. (14, – 4)
c. 1-4, 14)
b. (14, 4)
d. (4,14)
Please select the best answer from the choices provided

Answer 1

Option B:

t = (14, 4)

Solution:

Given data: $\vec{t}=4 \vec{u}+6 \vec{v}$

$\vec{u}=(-1,4)$ and $\vec{v}=(3,-2)$

Let us solve the vector.

$\vec{t}=4 \vec{u}+6 \vec{v}$

Substitute u and v value in vector t.

$\vec{t}=4(-1, \ 4)+6(3, \ -2)$

Multiply 4 into the first bracket and 6 into the second bracket.

  $=(-4, \ 16)+(18, \ -12)$

Add first element with first element and second element with second.  

  $=(-4+18, \ 16-12)$

  $=(14, \ 4)$

t = (14, 4)

Option B is the correct answer.