1/5 (18-11) I believe this is what you mean?
Answer:
Note that orthogonal to the plane means perpendicular to the plane.
Step-by-step explanation:
-1x+3y-3z=1 can also be written as -1x+3y-3z=0
The direction vector of the plane -1x+3y-3z-1=0 is (-1,3,-3).
Let us find a point on this line for which the vector from this point to (0,0,5) is perpendicular to the given line. The point is x-0,y-0 and z-0 respectively
Therefore, the vector equation is given as:
-1(x-0) + 3(y-0) + -3(z-5) = 0
-x + 3y + (-3z+15) = 0
-x + 3y -3z + 15 = 0
Multiply through by - to get a positive x coordinate to give
x - 3y + 3z - 15 = 0
I’m not the best with words but first you would have to treat the greater sign as a = sign. So..
-2x =6
/ /
-2 -2
X = -3
and then you would change the sign to a less than sign because you divided by a negative.
Answer:
Yes, the both sides of the given equation are equal.
Step-by-step explanation:
The given equation is
Taking LHS,
Using the power property of logarithm, we get
![[\because log_ax^n=nlog_ax]](https://tex.z-dn.net/?f=%5B%5Cbecause%20log_ax%5En%3Dnlog_ax%5D)
![[\because RHS=3\log(1-i)]](https://tex.z-dn.net/?f=%5B%5Cbecause%20RHS%3D3%5Clog%281-i%29%5D)
Both sides of the given equation are equal.
