Question

Given R(-2, 5, 8), S(3, 9, -3) find an ordered triple that represents RS and find the magnitude of RS.
A) (3, 2, -9), 3√9 C) (5, 4, -11), 3√9
B) (3, 2, -9), 9√2 D) (5, 4, -11), 9√2

Answer 1

$\textbf{Given:}$

$\text{R(-2,5,8) and S(3,9,-3)}$

$\textbf{To find:}$

$RS\;\text{and magnitude of RS}$

$\textbf{Soluition:}$

$\text{Let O be the origin}$

$\text{Then,}$

$\overrightarrow{OR}=-2\overrightarrow{i}+5\overrightarrow{j}+8\overrightarrow{k}$

$\overrightarrow{OS}=3\overrightarrow{i}+9\overrightarrow{j}-3\overrightarrow{k}$

$\bf\overrightarrow{RS}=\overrightarrow{OS}-\overrightarrow{OR}$

$\implies\overrightarrow{RS}=(3\overrightarrow{i}+9\overrightarrow{j}-3\overrightarrow{k})-(-2\overrightarrow{i}+5\overrightarrow{j}+8\overrightarrow{k})$

$\implies\bf\overrightarrow{RS}=5\overrightarrow{i}+4\overrightarrow{j}-11\overrightarrow{k}$

$\text{Magnitude of \overrightarrow{RS} }$

$=\sqrt{5^2+4^2+(-11)^2}$

$=\sqrt{25+16+121}$

$=\sqrt{162}$

$=\sqrt{81{\times}2}$

$=9\sqrt{2}$

$\therefore\textbf{Ordered triple of RS is (5,4,-11) and}$

$\textbf{magnitude of RS is \bf\,9\sqrt{2} }$

$\implies\,\textbf{Option (d) is correct}$

Find more:

The following forces act on a particle P:F1=2i+3j-5k, F2=-5i+j+3k, F3=i-2j+4k, F4=4i-3j-2k, measured in pounds. Find:

a) the resultant (sum) of the forces

b) the magnitude of the resultant

https://brainly.in/question/13242690

Answer 2

Answer:

the answer is D

Step-by-step explanation:

i did the asignment on edg