A box has three cards numbered 1, 2, and 3
A bag has three balls labeled A, B, and C
Deshaun will randomly pick a card from the box and record the number chosen.
Then he will randomly pick a ball from the bag and record the letter chosen.
Give the sample space describing all possible outcomes.
Then give all of the outcomes for the event that the letter chosen is A.
Use the format 1A to mean that the number chosen is 1 and the letter chosen is A.
If there is more than one element in the set, separate them with commas.

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

x= 3^y

step-by-step explanation: