Which of the following is the converse of the statement,"if we go to the ocean, then i will go for a swim"? a. if i go for a swim, then we will go to the ocean. b. if we do not go to the ocean, then i will not go for a swim. c.if we go to the ocean, then i will not go for a swim. d. if we do not go to the ocean then i will go for a swim

A. If i go for a swim, then we will go to the ocean.

Step-by-step explanation:

We know that the general form of converse of a conditional statement "p then q" is "q then p", here p denotes the hypothesis and q denotes the conclusion in a conditional statement.

The given conditional statement : "if we go to the ocean, then I will go for a swim"

Here, p="we go to the ocean"

q="I will go for a swim"

Now, interchange the hypothesis and conclusion, then the required converse statement will be :- "If we do not go to the ocean, then I will not go for a swim."

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