Question

figure shows a regular hexagon pqrstu find the value of vector pq+ vector pr+ vector ps+vector pt+ vector pu​

Answer 1

Given that,

A regular hexagon pqrstu.

We need to find the value of $\vec{pq}+\vec{pr}+\vec{ps}+\vec{pt}+\vec{pu}$

Using diagram

$=\vec{pq}+\vec{pr}+\vec{ps}+\vec{pt}+\vec{pu}$

$=\vec{pq}+(\vec{pq}+\vec{qr})+(\vec{pq}+\vec{qr}+\vec{rs})+(\vec{pu}+\vec{ut})+\vec{pu}$

$=3\vec{pq}+2\vec{qr}+\vec{rs}+2\vec{pu}+\vec{ut}$....(I)

Here, $\vec{qr}=\vec{ut}$

$\vec{rs}=\vec{pu}$

Put the value in the equation

$=3\vec{pq}+2\vec{qr}+\vec{pu}+2\vec{pu}+\vec{qr}$

$=3\vec{pq}+3\vec{qr}+3\vec{pu}$

put the value of pu

$=3(\vec{pq}+\vec{qr}+\vec{rs})$

$=3(\vec{pq}+\vec{qs})$

$=3\vec{ps}$

Put the value of ps

$=3\times2\vec{po}$

$=6\vec{po}$

Hence, The the value of $\vec{pq}+\vec{pr}+\vec{ps}+\vec{pt}+\vec{pu}$ is $6\vec{po}$

Answer 2

Answer:

The answer is in the above attachment dont forget to thank me.