M is the midpoint of line segment P Q, and R is the midpoint of T S . If P M=M Q=a⃗ and T R=R S=

Name: M is the midpoint of line segment P Q, and R is the midpoint of T S . If P M=M Q=a⃗ and T R=R S=b⃗, as shown, prove that 2 R M=T P+S Q
Uploaded: 2023-04-20T16:45:10-08:00
Duration: 1 min 48 s
Channel: Carson Merrill
Description: M is the midpoint of line segment P Q, and R is the midpoint of T S . If P M=M Q=a⃗ and T R=R S=b⃗, as shown, prove that 2 R M=T P+S Q

Question

Ahmet Yavas · Accepted Answer

First, we can write $overrightarrow{PQ} = overrightarrow{PM} + overrightarrow{MQ} = vec{a} +

Question

$M$ is the midpoint of line segment $P Q,$ and $R$ is the midpoint of $T S .$ If $\overrightarrow{P M}=\overrightarrow{M Q}=\vec{a}$ and $\overrightarrow{T R}=\overrightarrow{R S}=\vec{b},$ as shown, prove that $2 \overrightarrow{R M}=\overrightarrow{T P}+\overrightarrow{S Q}$

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