Just need the answer. in degrees thanks;)

1. QR = 36 ; PR = 45 ; PQ = 21, Sin _?. = 21 / 45

2. QR = 16 ; PR = 2 ; PQ = 8, tan _?_ = 8/16

3. QR = 15; PR = 28 ; PQ = 15, Cos _?_= 15 / 28

4. OR = 47 ; PR = 64 ; PQ = 38, tan_?_= 38 / 47

5. OR = 4 ; PR = 17; PQ = 12, Sin _?_1 = 12 / 17

6. OR = 36 ; PR = 59 ; PO = 20, Cos __?_= 36 / 59

7. OR = 82 ; PR = 63 ; PQ = 29, tan __?_= 29 / 82

8. QR = 10 ; PR = 28 ; PQ = 8, Sin _ ? 11 = 8 / 28

9. QR = 51 ; PR = 42 ; PQ = 9, tan _?__ = 9 / 51

10. OR = 16 ; PR = 20 ; PQ = 17, Cos __?_|| = 16 / 20

11. QR = 12 ; PR = 84 ; PQ = 60, Sin? = 60 / 84

12. OR = 19 ; PR = 32 ; PQ = 45, Cos _ ? = 19 / 32

13. QR = 76 ; PR = 27 ; PQ = 64, tan __?_= 64 / 76

14. OR = 26; PR = 48 ; PQ = 37, Cos __?_= 37 / 48

15. OR = 19 ; PR = 66 ; PO = 23, Cos_?_= 23 / 66

idk do it yourself or ask somebody idk stop going online asking for

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