Take an arbitrary vector (<em>x</em>, <em>y</em>, <em>z</em>), which goes from the origin to some point (<em>x</em>, <em>y</em>, <em>z</em>) on the plane we want to find.
Subtract from this vector, the vector that points to 
, which is (-3, 3, 1). This translates the first vector so that it starts at the point and is directed at some point (<em>x</em>, <em>y</em>, <em>z</em>). We get a new translated vector, (<em>x</em> + 3, <em>y</em> - 3, <em>z</em> - 1), which lies in the plane.
The normal vector to the plane is orthogonal to every vector in the plane. So taking the dot product of any vector in the plane with the normal to the plane will always result in 0. We use this to find the plane's equation:
and so the answer is D.
Answer:
B, 11000
Step-by-step explanation:
assuming a 365 day year...
which I guess is close enough to 11000
Answer:
3.60m
Step-by-step explanation:
In backwaters of Kerala, a boatman was throwing a boat with a long pole which has a length of 4.80m
The boatman put the pole into the water vertically, the part of the pole that was seen above the water level is 0.25m
The first step is to calculate the length of the pole that is seen above the water level
= 4.80 × 0.25
= 1.20m
Therefore the depth of the water at that point can be calculated as follows
=4.80m - 1.20m
= 3.60m
Hence the depth of the water at that point is 3.60m
Answer:
25% of the sweets in the jar are jelly beans.
Answer:
-32/9
Step-by-step explanation:
4/9=w+4
4/9-4/1=w
4-36/9=w
w=-32/9 or w=-3.56
