The resultant of two vectors is perpendicular to one
of them and has the magnitude 4 m. If the sum of
the magnitude of two vectors is 8 m then their
respective magnitude are
(1) 4 m, 4 m
(2) 2 m, 6 m
(3) 3 m, 5 m
(4) 1 m, 7 m
- anar enoed of second's hand to hour
Answers
Answered by
28
Answer :-
3m and 5m
Option → C
Given :-
The resultant is perpendicular to one of the vector.
R = 4
Sum of magnitude of two vectors
= 8
To find :-
Their respective magnitude.
Solution:-
Let a and b be the magnitude of two vectors.
Let ,Resultant is perpendicular to vector a.
→
→
→
- Equating denominator with 0.
→
→
→
Now,
Resultant is given by formula :-
- Put the value of
→
→
→
→
→
→
→
→
Now,
→
→
- Adding these two equation.
→
→
→
→
hence,
Magnitude of two vectors is 3m and 5m.
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