Vectors & dot products

What the problems look like

A few statements from this skill. Answers, hints and worked solutions live in the practice session.

1. Warm-up

   Vectors $u = (-3, 3)$ and $v = (2, -4)$. Based on the sign of $u\cdot v$, is the angle between them acute, right, or obtuse? Enter $1$ for acute, $0$ for right, or $-1$ for obtuse.

2. Warm-up

   Vectors $u = (-1, 3)$ and $v = (1, 4)$. Based on the sign of $u\cdot v$, is the angle between them acute, right, or obtuse? Enter $1$ for acute, $0$ for right, or $-1$ for obtuse.

3. Warm-up

   Vectors $u = (3, -5)$ and $v = (3, -6)$. Based on the sign of $u\cdot v$, is the angle between them acute, right, or obtuse? Enter $1$ for acute, $0$ for right, or $-1$ for obtuse.

Problems shown under their original terms: Generated (template, solver-computed).