Hello! I am currently failing math class and if I don’t get it together I might have to repeat the grade! so I really need you help and if you have the answer let me know in the comments please !! <3 :) question⬇️⬇️

Which is longer distance, 3 miles or 3 kilometers?

3 miles

Step-by-step explanation:

1 mile = 1.609344 km

1 mile is a greater distance than one kilometer, so 3 miles is a greater distance than 3 km.

3 miles

3 kilometers is equal to 1.18 miles, and 1.8 miles is less than 3 miles, so I believe that 3 miles is longer than 3 kilometers.

If this is incorrect, please don't refrain to tell me, and I can correct my answer. Thank you.

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