IDNLearn.com is designed to help you find reliable answers quickly and easily. Join our community to receive prompt, thorough responses from knowledgeable experts.

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 :

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