3/4 Ravi is as tall as Sam, Mike is as tall as 5/3 Ravi. Find the ratio of Mike's height to Sam's height.​

The ratio of Mike and Sam Heights are  S:M=5:4

Step-by-step explanation:

Ravi is 3/4 as tall as Sam.

Consider the equation is  3/4 *R=S

Mike is 5/3 as tall as Ravi.

Then, the equation is 5/3 *M=R

Solve the two equation to find ratio of mikes and sam height.

3/4*R=S   Eq(1)

Rearranging eq (1) for R

R=4/3 *S      Eq(3)   made from eQ (1)

R=5/3*M   Eq(2)

Comparing   Eq 2 &3  equations

4/3*S=5/3*M

S/M=(5/3)*(3/4)

S/M=5/4

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

deez nu tz

step-by-step explanation: