Is the angle sum and the interior angle sum the same thing? can someone explain what they are?

Angle sum is the sum of all angles (exterior and interior) while interior angle sum is sum of all interior angles.

For example a square has an interior angle sum of 90° + 90° + 90° + 90° = 360° since all his interior angles measure 90° and there are only 4 of them.

It's total sum of angles is much bigger (interior + exterior angle sum)

The exterior angle sum of an square is 4 × (360 - 90°) = 1080° and you must add the interior angle sum which is 360° so we have 1080° + 360° = 1440° and that is the total angle sum.

As you can see the interior and total sum of angles are different in size and therefore are a different things.

Hope this helps.

r3t40

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