Hello, imthatgirl!

Two vectors are perpendicular if their dot product is zero.1) Determine if the vector is perpendicular

to the line: .

We have vector

The line has vector: .

Then: .

Therefore: .

Determine if these two lines intersect.

. .

. .

We have: . .(A)

Equate components: .

Subtract [1] from [3]: .

Substitute into [1]: .

Substitute into (A) and we get: . . . . intersection!