Answer:
The required vectors are
and
.
Step-by-step explanation:
Given information: P(-4,-2) and Q(3,-4).
We need to find the two vectors parallel to
with length 2.
If
and
, then
![\overrightarrow {AB}=](https://tex.z-dn.net/?f=%5Coverrightarrow%20%7BAB%7D%3D%3Cx_2-x_1%2Cy_2-y_1%3E)
![|\overrightarrow {AB}|=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}](https://tex.z-dn.net/?f=%7C%5Coverrightarrow%20%7BAB%7D%7C%3D%5Csqrt%7B%28x_2-x_1%29%5E2%2B%28y_2-y_1%29%5E2%7D)
Using the above formula we get
vector QP is,
![\overrightarrow {QP}==](https://tex.z-dn.net/?f=%5Coverrightarrow%20%7BQP%7D%3D%3C-4-3%2C-2-%28-4%29%3E%3D%3C-7%2C2%3E)
Magnitude of vertor QP is,
![|\overrightarrow {QP}|=\sqrt{(-4-3)^2+(-2-(-4))^2}](https://tex.z-dn.net/?f=%7C%5Coverrightarrow%20%7BQP%7D%7C%3D%5Csqrt%7B%28-4-3%29%5E2%2B%28-2-%28-4%29%29%5E2%7D)
![|\overrightarrow {QP}|=\sqrt{(-7)^2+(2)^2}](https://tex.z-dn.net/?f=%7C%5Coverrightarrow%20%7BQP%7D%7C%3D%5Csqrt%7B%28-7%29%5E2%2B%282%29%5E2%7D)
![|\overrightarrow {QP}|=\sqrt{49+4}](https://tex.z-dn.net/?f=%7C%5Coverrightarrow%20%7BQP%7D%7C%3D%5Csqrt%7B49%2B4%7D)
![|\overrightarrow {QP}|=\sqrt{53}](https://tex.z-dn.net/?f=%7C%5Coverrightarrow%20%7BQP%7D%7C%3D%5Csqrt%7B53%7D)
Using vector is
![\widehat {QP}=\frac{\overline {QP}}{|\overline {QP}|}](https://tex.z-dn.net/?f=%5Cwidehat%20%7BQP%7D%3D%5Cfrac%7B%5Coverline%20%7BQP%7D%7D%7B%7C%5Coverline%20%7BQP%7D%7C%7D)
![\widehat {QP}=\frac{1}{\sqrt{53}}](https://tex.z-dn.net/?f=%5Cwidehat%20%7BQP%7D%3D%5Cfrac%7B1%7D%7B%5Csqrt%7B53%7D%7D%3C-7%2C2%3E)
![w=\widehat {QP}=\frac{1}{\sqrt{53}}](https://tex.z-dn.net/?f=w%3D%5Cwidehat%20%7BQP%7D%3D%5Cfrac%7B1%7D%7B%5Csqrt%7B53%7D%7D%3C-%5Cfrac%7B7%7D%7B%5Csqrt%7B53%7D%7D%2C%5Cfrac%7B2%7D%7B%5Csqrt%7B53%7D%7D%3E)
Multiply vector w by 2 to get a parallel vector parallel of QP in same direction.
![u=2w=](https://tex.z-dn.net/?f=u%3D2w%3D%3C-%5Cfrac%7B14%7D%7B%5Csqrt%7B53%7D%7D%2C%5Cfrac%7B4%7D%7B%5Csqrt%7B53%7D%7D%3E)
Multiply vector w by -2 to get a parallel vector parallel of QP in opposite direction.
![v=-2w=](https://tex.z-dn.net/?f=v%3D-2w%3D%3C%5Cfrac%7B14%7D%7B%5Csqrt%7B53%7D%7D%2C-%5Cfrac%7B4%7D%7B%5Csqrt%7B53%7D%7D%3E)
Therefore the required vectors are
and
.
Answer:so u asking how much was ate total?
Step-by-step explanation:
Answer:
434 sweatshirts were sold
Step-by-step explanation:
$2,170/$5 = 434
Mmm like 4 if to 30 in total but I ain’t know out 100
Answer:
-1/2
Step-by-step explanation:
2(x-4)=6x-6
2x-8=6x-6
2x-6x-8=-6
-4x-8=-6
-4x=-6+8
-4x=2
x=2/-4
simplify
x=-1/2