Vh225469
the coordinates of two of the vertices of scuare qrst are shown.
-
q(3.6.2.1)
r 5.1.2.1)
part a
what is the length, in units, of each side of square qrst? use the coordinates to show or expan now
you determined the length.
enter your answer and your work or explanation in the space provided.

1.5 units

Step-by-step explanation:

It was given that two of the vertices of square QRST are  

Q(3.6.2.1)  and R 5.1.2.1).

These are two consecutive vertices of one horizontal side of the square.

Using the absolute value method;

A square has all sides equal.

Therefore each sides of the square is 1.5 units.

22 and 22

step-by-step explanation:

10 plus 12 equals 22.

12 plus 10 also equals 22 because regardless of what order they're in, they're gonna equal the same thing.

the value of v.w= -12.

step-by-step explanation:

we are given three vector r,v and w as:

r = < 5, -5, -2> ; v = < 2, -8, -8> ; w = < -2, 6, -5>

we know that r,v and w could also be represented as:

r=5i-5j-2k

v=2i-8j-8k

and w= -2i+6j-5k

where i,j and k are the unit vectors of x,y and z-axis respectively.

also we know that it has the following property:

i.i=1 ; j.j=1; k.k=1

and i.=j.i=i.k=k.i=j.k=k.j=0

i.e. when we multiply two vectors or we find it's dot product we need to only multiply the components of x coordinates with each other; y with each other and z with each other.

hence, v.w= (2i-8j- -2i+6j-5k)

                  = 2×(-2)+(-8)×(6)+(-8)×(-5)

                  = -4-48+40

                  = -12

hence, v.w= -12