Back to Add and subtract vectors — Problem 2 · Task Set 19

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

Fluency Practice

Two vectors $\mathbf{u}$ and $\mathbf{w}$ share the same tail. A student completes the parallelogram. Using the parallelogram rule, which vector is $\mathbf{u} + \mathbf{w}$ ?

The diagonal from the shared tail to the opposite corner of the parallelogram

The other diagonal, connecting the tips of $\mathbf{u}$ and $\mathbf{w}$

The vector that bisects the angle between $\mathbf{u}$ and $\mathbf{w}$

The vector with magnitude $|\mathbf{u}| + |\mathbf{w}|$ at 45° between the two vectors