NEET Class neet Answered
If resultant of two vectors a & b is shown in the figure is ✓7b. The value of a/b.
Asked by brijk456 | 01 Aug, 2019, 10:00: AM
Expert Answer
Let x-axis of cartesian coord system is along the direction of a .
Then we have a = a i ; b = (b/2) i + (√3b/2)j
then resultant vector = [ a + (b/2) ] i + (√3b/2)j
square of magnitude of resultant vector = [ a + (b/2) ]2 + (3/4)b2 = 7 b2 (given)
Hence, we get from above equation, a2 + ab = 6 b2 ..................(1)
dividing eqn.(1) by a2 , 1 + (b/a) = 6 (b/a)2 ....................(2)
put (b/a) - x in eqn.(2), we get, 6x2 -x -1 = (2x-1)(3x+1) = 0 or x = b/a = 1/2
Answered by Thiyagarajan K | 01 Aug, 2019, 03:10: PM
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