Add: -14/15+10/21
give your answer as a reduced fraction

-16/35

Step-by-step explanation:

To know tha answer for this, you have to find the prime factor of 15 and 21:

Prime factor of 15: 3, 5

Prime factor of 21: 3, 7

Therefore, the LCD (least common denominator) of 15 and 21 are: 3 * 5 * 7 = 105

-14/15+10/21  

= -14*7/15*7 + 10*5 / 21*5

= -98/105 + 50/105

= -48/105

Simplify:

= -16/35

Hope this help you :3

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