Answered

IDNLearn.com: Your one-stop platform for getting reliable answers to any question. Discover detailed answers to your questions with our extensive database of expert knowledge.

Two vectors have magnitudes of 25 and 12. Which of the following is the only possible resultant for these vectors? A.25 B.12 C.42 D.28

Sagot :

Annelzajolin1idn

Answer:

Step 1: Draw the vectors[Ref. Fig.]

Consider there are two vectors A and B such that B is perpendicular to the resultant R

Since the resultant is perpendicular to vector B we will get a right-angled triangle

Step 2: Equation formation

From the triangle

                ∣A∣2=∣B∣2+∣R∣2                                             ....(1)

Given ,    ∣R∣=∣A+B∣=12                                            ....(2)   

                ∣A∣+∣B∣=18                                                     ....(3)  

Step 3: Solving Equations

Equation (3) and (1)⇒     ∣A∣2=(18−∣A∣)2+(12)2

                                    ⇒  ∣A∣2=182+∣A∣2−2×18∣A∣+

Explanation:

hope it helps

Thank you for using this platform to share and learn. Keep asking and answering. We appreciate every contribution you make. IDNLearn.com has the answers you need. Thank you for visiting, and we look forward to helping you again soon.