Questions
The vector sum of two forces is perpendicular to their vector differences. In that case, the forces
a
are equal to each other in magnitude
b
are not equal to each other in magnitude
c
cannot be predicted
d
are equal to each other
detailed solution
Correct option is A
If two vectors are perpendicular then their dot product must be equal to zero. Let say two vectors are A→ and B→ . According to problem A→+B→ is perpendicular to A→-B→.∴A→+B→⋅A→−B→=0⇒A→⋅A→−A→⋅B→+B→⋅A→−B→⋅B→=0⇒A2−B2=0⇒A2=B2∴ A = B i.e., two vectors are equal to each other in magnitude.Talk to our academic expert!
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