8. Vectors

Two parallel lines are crossed by a transversal. If one of the alternate interior angles is $y$ degrees and the corresponding angle on the other side of the transversal is $65$ degrees, what is the value of $y$?

Which statement is true about the relationship between points and planes in three-dimensional space?

Given that the vectors $u$, $v$, and $w$ satisfy $\left|u\right|=\left|v\right|=1$ and $u+v+w=0$, what is the magnitude of $w$?

In the context of geometric vectors, what is the term for points that lie on the same plane?

In Exercises 5–8, let v = -5i + 2j and w = 2i - 4j Find the specified vector, scalar, or angle. 3v - 4w

In Exercises 25–26, let v be the vector from initial point P₁ to terminal point P₂. Write v in terms of i and j.

P₁ = (-3, 0), P₂ = (-2, -2)

Given intersecting lines that form angles labeled $AFE$, $BFC$, $CFD$, $DFE$, and $EFA$, which pair of angles are vertical angles?