Section 2.2: Vectors: More Problems!

Vectors and Lines

Find a vector of magnitude 1 parallel to the line $y = 3x + 1.$

Solution

More Problems

If $A$, $B$, and $C$ are vertices of a triangle, what is $\overrightarrow{AB}+\overrightarrow{BC}+\overrightarrow{CA}$?

Find the unit vectors that are parallel to the tangent line of the parabola $y = x^2$ at the point $(2,4)$.

Find the unit vectors that are perpendicular to the tangent line of the parabola $y = x^2$ at the point $(2,4)$.

If $ r = \langle x,y,z\rangle$ and $r_0 = \langle x_0, y_0, z_0 \rangle$, describe the set of all points $(x,y,z)$ such that $|r - r_0| = 1$.