Find the area of rectangles with the following side lengths 5in and 1/3 in

Step-by-step explanation:

I’m assuming it’s 5/3. I could be wrong

1.67 in2

Step-by-step explanation:

In this question, we're trying to find the area of a rectangle.

To find the area of a rectangle, we would do length × width.

We know that the lengths are:

5

1/3

With the lengths above, we can find the area.

We would simply multiply 5 by 1/3 to get the area of the rectangle.

When you multiply, you should get 1.67 when you round to the nearest hundredths.

Remember, the area is always represented with the exponent of 2, or squared.

This means that the area of the rectangle is 1.67 in²

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

a

step-by-step explanation: