Complete the proof of the Pythagorean theorem. Given: is a right triangle, with
a right angle at .

Prove:

triangle
A right triangle B C A. Angle C is marked as a right triangle. Side B C is labeled as a. Side C A is labeled as b. A line segment drawn from vertex C intersects the line segment B A at a point labeled as D. Segment B D is labeled as x. Segment D A is labeled as y. Angle C D A is marked as a right angle. A line segment that runs parallel to segment BA is labeled as c.

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

1,150 give brainliest

step-by-step explanation

2r= 2300

r =1150

a

step-by-step explanation:

step-by-step explanation: