# The line l has equation r=(1 2 -1) + lamda(2 1 3). The plane has equation r.(2 -1 -1)=6 (i) show that l is parallel to p Can someone please solve this question?

##### 1 Answer

Jan 28, 2018

See explanation.

#### Explanation:

The direction vector of the line is

The normal vector to the plane is

Calculating the dot product of the two vectors gives:

Since the dot product is 0 we know the vectors are orthogonal.

Since both the plane and the line are orthogonal to the vector