Length of the larger canvas = 6 ft

The scale factor is 2.

5 x 2 = 10 which gave us the width of the larger canvas

So also do 3 x 2 = 6 which is the length of the larger canvas

4 0

2 years ago

Algebra2 <br>|2-3(2w+1)=7w-3(7+w)

Nezavi [6.7K]

I believe your answer is -220w-22 2-3(2w+1)=7w-3(7+w) +7w -7w 2-3(9w+1)=-3(7+w) +w -w 2-3(10w+1)=-3(7) 2-3(10w+1)=-21 -1(10w+1=-21 -21 +21 -22(10w+1) -220w-22

5 0

3 years ago

Calculate a vector c in the same direction of the vector a and that has the same length as the vector b

Viktor [21]

For any scalar $t>0$ , $t\vec a$ is a vector pointing in the same direction as $a$ .

To force this vector to have the same length as another vector $\vec b$ , first normalize $t\vec a$ by dividing it by its norm,

$\dfrac{t\vec a}{\|t\vec a\|}=\dfrac{t\vec a}{t\|\vec a\|}=\dfrac{\vec a}{\|\vec a\|}$

then multiply this vector by the norm of $\vec b$ , so that

$\vec c=\dfrac{\|\vec b\|}{\|\vec a\|}\vec a$

To confirm that $\vec c$ has the same length as $\vec b$ :

$\|\vec c\|=\left\|\dfrac{\|\vec b\|}{\|\vec a\|}\vec a\right\|=\dfrac{\|\vec b\|}{\|\vec a\|}\|\vec a\|=\|\vec b\|$

8 0

3 years ago