Answer:
v . w= -13
Step-by-step explanation:
Evaluate the expression: v ⋅ w Given the vectors: r = <8, 1, -6>; v = <6, 7, -3>; w = <-7, 5, 2>
Solution
Given the vectors:
r = <8, 1, -6>
v = <6, 7, -3>
w = <-7, 5, 2>
If you're asking about the dot product.
The dot product is a scalar. It is the sum of the product of the corresponding components.
 v.w = (6*-7) + (7*5) + (-3*2)
= -42+35-6
 = -13.
 
        
             
        
        
        
Answer:
1/6 or 25
Step-by-step explanation:
1/3=10/30
3/10=9/30
1/5=6/30
together is 25/30, which leaves the rest, 5/30 or 1/6 or 25 cookies.
 
        
             
        
        
        
Answer:
Equation of line 1  is 3 X - 4 Y = 20
Equation of line 2 is 3 X  + 4 Y = 20
Step-by-step explanation:
Given co ordinates of points as,
( -4 , 8)  and (0 , 5)
From the given two points we can determine the slop of a line
 I. e slop (m) = 
 Or,           m  = 
So,           m = 
Now equations of line can be written as , 
Y - y1 = m ( X - x1)
<u>At points ( -4 , 8)</u>
Y - 8   = 
 (X + 4)
So , Equation of line 1  is 3 X - 4 Y = 20
<u>Again with points ( 0 , 5)</u>
Y - 5   = 
 ( X - 0)
So, Equation of line 2 is 3 X  + 4 Y = 20
Hence Equation of line 1  is 3 X - 4 Y = 20  and Equation of line 2 is 3 X  + 4 Y = 20   Answer