Answer:
=k−j or (0 -1 1)
Step-by-step explanation:
The Vector or Outer Product two vectors, say →x&→y, is
denoted by →x×→y, is a perpendicular vector to the plane containing them.
The given pts. A (0 0 0), B (1 0 0), C (1 1 1) lie in a
plane ABC.
As suchType equation here., the vectors (→(AB ) )and (→AC ) are members, ∈ of the plane ABC
That is □(→(AB )×(→AC)) to the plane ABC
(→(AB ) )=(1-0,0-0,0-0)=(1,0,0)
(→(AC ) )=(1-0,1-0,1-0)=(1,1,1)
(→(AB )×(→AC= (0i -j k)
=k−j
Which is in the positive Z direction
2.8 = 2 + 0.8
*let's analyze the decimal 0.8 as a fraction
0.8 = 8/10
*but if we divide the numerator and denominator by the same common factor of 2, we find that the fraction can be reduced to:
(8/2)/(10/2) = (4)/(5) = 4/5
*now evaluating the whole value of 2 (from the 2.8), we know there are a total of (5) - fifths in order to make a whole, so for 2 whole, we require:
2*(5/5) = (2*5)/5 = 10/5
*Now we add the fractions together:
2 = 10/5
0.8 = 4/5
10/5 + 4/5
*add numerators only, the denominator stays as a 5
(10 + 4)/5 = 14/5
*there are no common factors between 14 & 5 (other than 1, but that won't help reduce the fraction any), so the fraction is in it's simplest form:
answer is: 14/5
Answer:
y = x + 3
Step-by-step explanation:
Slope-intercept form is represented by the formula 
. We can write an equation in point-slope form first, then convert it to that form.
1) First, find the slope of the line. Use the slope formula 
and substitute the x and y values of the given points into it. Then, simplify to find the slope, or 
:
Thus, the slope of the line must be 1.
2) Now, since we know a point the line intersects and its slope, use the point-slope formula 
and substitute values for , 
, and 
. From there, we can convert the equation into slope-intercept form.
Since represents the slope, substitute 1 in its place. Since and represent the x and y values of a point the line intersects, choose any one of the given points (either one is fine) and substitute its x and y values into the equation, too. (I chose (0,3).) Finally, isolate y to find the answer:
