Exercises: Add and Subtract Vectors

Work through each section in order. Show your work where indicated.

Grade 9·21 problems·~30 min·Common Core Math - HS Number and Quantity·standard·hsn-vm-b-4

Work through problems with immediate feedback

Recall / Warm-Up

To add vectors $\mathbf{u} + \mathbf{w}$ using the head-to-tail method, which step is correct?

Place the tail of $\mathbf{w}$ at the tip of $\mathbf{u}$ ; draw the resultant from the tail of $\mathbf{u}$ to the tip of $\mathbf{w}$ .

Place the tail of $\mathbf{u}$ at the tip of $\mathbf{w}$ ; draw the resultant from the tail of $\mathbf{w}$ to the tip of $\mathbf{u}$ .

Place both vectors at the origin; the resultant is the average of $\mathbf{u}$ and $\mathbf{w}$ .

Draw $\mathbf{u}$ and $\mathbf{w}$ end-to-end in any order; direction does not matter.