Questions: Refer to the vectors m through t at the right. Name all pairs of vectors that are opposites. Choose the correct answer below. A. m and p, p and q, n and r, o and t B. m and p, m and q, n and s; o and t C. m and q, n and r; r and s; n and s D. m and q, p and q, n and s; r and s

Refer to the vectors m through t at the right.
Name all pairs of vectors that are opposites.

Choose the correct answer below.
A. m and p, p and q, n and r, o and t
B. m and p, m and q, n and s; o and t
C. m and q, n and r; r and s; n and s
D. m and q, p and q, n and s; r and s

Transcript text: Refer to the vectors $m$ through $t$ at the right. Name all pairs of vectors that are opposites. Choose the correct answer below. A. m and $\mathrm{p}, \mathrm{p}$ and $\mathrm{q}, \mathrm{n}$ and $\mathrm{r}, \mathrm{o}$ and t B. $m$ and $\mathbf{p}, \mathrm{m}$ and $\mathbf{q}, \mathrm{n}$ and $\mathrm{s} ; \mathrm{o}$ and t C. $m$ and $q, n$ and $r ; r$ and $s ; n$ and $s$ D. m and q, p and q, n and s; $\mathbf{r}$ and $\mathbf{s}$

Solution

Solution Steps

Step 1: Analyze the vectors

Vectors that are opposites must have the same magnitude (length) and opposite directions (180 degrees apart).

Step 2: Identify opposite vector pairs

m and q: These vectors have the same length and point in opposite directions.
p and q: These vectors are not opposites. They have the same length but are not pointing in opposite directions.
n and s: These vectors have the same length and point in opposite directions.
r and s: These vectors have the same length and point in opposite directions.
o and t: These vectors are not opposites. They do not have the same length, nor are they pointing in opposite directions.