Daily Math · 2026-05-18

Question 1

A finite group of prime order $p$ is necessarily:

Accepted Answer

cyclic and abelian

Answer

non-abelian

Answer

non-cyclic

Answer

has $|G|$ subgroups

Question 2

The solution set of $x^2 > 9$ in $\mathbb{R}$ is:

Accepted Answer

$(-\infty, -3) \cup (3, +\infty)$

Answer

$(-3, 3)$

Answer

$[-3, 3]$

Answer

$(-\infty, -3] \cup [3, +\infty)$

Question 3

Let $\vec{a}$ and $\vec{b}$ be two non-collinear vectors. Find $m \in \mathbb{R}$ so that $\vec{u} = 3\vec{a} - (m + 1)\vec{b}$ and $\vec{v} = (m - 1)\vec{a} - 5\vec{b}$ are collinear.

Accepted Answer

$\{-4, 4\}$

Answer

$\{-4\}$

Answer

$\{4\}$

Answer

$\{-2, 8\}$