Practice

Reps until it is automatic

Practice sets generate a fresh problem every time, check your answer, and show the worked solution. Review brings back the exercises you have missed so far.

Practice setDot products

Multiply matching entries and add. Vectors with 2 to 4 entries and small integers.

5 correct in a row completes the set.

Compute $\mathbf{a}\cdot\mathbf{b}$ for $\mathbf{a} = (5, -1)$ and $\mathbf{b} = (6, -2)$ .

a · b

Practice setProjections

Project a onto the line through b with the formula (a·b / b·b) b.

5 correct in a row completes the set.

Find $\operatorname{proj}_{\mathbf{b}}\mathbf{a}$ for $\mathbf{a} = (0, -4)$ and $\mathbf{b} = (-1, -1)$ .

proj