Answer:
The number of red pencils is 2 times the number of yellow pencils
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.
Their corresponding sides are proportional and their corresponding angles are equal.
Answer:
<em>Length of BO is </em><em>three times the length of DO.</em>
Step-by-step explanation:
In trapezoid ABCD, 
In ΔCDO and ΔABO,
(Alternate interior angles)
(Alternate interior angles)
So,
according to Angle-Angle similarity.
Therefore, the ratio of corresponding sides will be same.



