Question

Sketching Vectors Sketch the given vector with initial point (4,3), and find the terminal point.

$\mathbf{u}=⟨4,-3⟩$.

Short answer

The sketch of the vector $\mathbf{u}=⟨4,-3⟩$ having initial point $\text{A(4,3)}$ and $\text{B(8,0)}$ terminal point .

Step-by-step solution

Step 1.Given information.

Given initial point $\text{A(4,3)}$

Vector $\mathbf{u}=⟨4,-3⟩$.

Step 2. Find the terminal point using the component form formula.

Sketch the vector starting from initial point to the terminal point.

Terminal point of the vector using component form of vector.

$\begin{array}{c}⟨x-4,y-3⟩=⟨4,-3⟩\\ (x,y)=(4+4,-3+3)\\ (x,y)=(8,0)\end{array}$

Step 3. Sketch the vector heading from the initial point to the final point.