Ask Question
2 October, 21:30

Vectors A and B have equal magnitudes. Which statement is always true? Justify it!

a. A + B = 0.

b. A - B = 0.

c. A - B is perpendicular to A + B.

d. B - A is perpendicular to A - B.

e. The magnitude of A - B equals the magnitude of A + B

+4
Answers (1)
  1. 3 October, 01:17
    0
    c) A - B is perpendicular to A + B

    Explanation:

    a) and b) is not true when A and B are inclined at some angle.

    d) is wrong because A - B can not be perpendicular to B - A when they are linear because each will be equal to zero.

    e) is wrong because magnitude of A + B will be more than magnitude of

    A - B when angle between them is acute.

    So c) option is right.

    (A + B) dot product (A - B) = A² - B² = 0

    Hence (A + B) is perpendicular to (A - B).
Know the Answer?
Not Sure About the Answer?
Find an answer to your question ✅ “Vectors A and B have equal magnitudes. Which statement is always true? Justify it! a. A + B = 0. b. A - B = 0. c. A - B is perpendicular to ...” in 📘 Physics if you're in doubt about the correctness of the answers or there's no answer, then try to use the smart search and find answers to the similar questions.
Search for Other Answers