Answered

Discover a wealth of knowledge at Westonci.ca, where experts provide answers to your most pressing questions. Get quick and reliable answers to your questions from a dedicated community of professionals on our platform. Our platform offers a seamless experience for finding reliable answers from a network of knowledgeable professionals.

If R is (-4, 7) and S is (-2, 12), what is the component form of the vector R.S?
(8,84)
(2,5)
(-6, 19)
(-3,9.5)

If R Is 4 7 And S Is 2 12 What Is The Component Form Of The Vector RS 884 25 6 19 395 class=

Sagot :

semsee45

Answer:

(2, 5)

Step-by-step explanation:

Given:

  • R = (-4, 7)
  • S = (-2, 12)

To find the components of [tex]\overrightarrow{RS}[/tex] we need to go from R to O and then O to S.  Remember that [tex]\overrightarrow{RO}[/tex] is the negative of [tex]\overrightarrow{OR}[/tex].  Therefore:

[tex]\begin{aligned} \displaystyle \overrightarrow{RS} & =\overrightarrow{RO}+\overrightarrow{OS}\\& = \overrightarrow{OS}-\overrightarrow{OR}\\& =\binom{-2}{12}-\binom{-4}{7}\\& =\binom{2}{5}\end{aligned}[/tex]

Therefore, the component form (x, y) of the vector [tex]\overrightarrow{RS}[/tex] is (2, 5)

View image semsee45
Your visit means a lot to us. Don't hesitate to return for more reliable answers to any questions you may have. Thanks for using our platform. We aim to provide accurate and up-to-date answers to all your queries. Come back soon. Get the answers you need at Westonci.ca. Stay informed by returning for our latest expert advice.