Two vectors acting in the opposite directions have a resultant of 10 units. If they act at right angles to each other, then the resultant is 50 units. Calculate the magnitude of two vectors.
Text Solution
Verified by ExpertsThe correct answer is:
A
Let 
& 
are two vector
If 
P – Q = 10 unit ............... (i)
If 
= 50 unit
P2 + Q2 = 502 .............. (ii)
from equation
(10 + Q)2 + Q2 = 502
2Q2 + 20Q + 100 = 2500
2Q2 + 20Q = 2400
Q2 + 10Q – 1200 = 0
(Q + 40) (Q - 30) = 0
Q = 30
so, from equation
P = 10 + Q
= 10 + 30 = 40 unit
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