Motion in a Plane - Result Question 10

12. The vector sum of two forces is perpendicular to their vector differences. In that case, the forces

[2003]

(a) cannot be predicted

(b) are equal to each other

(c) are equal to each other in magnitude

(d) are not equal to each other in magnitude

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Answer:

Correct Answer: 12. (c)

Solution:

  1. (c) P= vector sum =A+B

Q= Vector differences =AB

Since P and Q are perpendicular

PQ=0(A+B)(AB)=0

A2=B2|A|=|B|



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