CBSE Class 11-science Answered
two vectors A and B have equal mag itudes.if magnitudes of A+B is equal to n times the magnitude of A-B.What is the angle between A andB?
IS THESE TYPES OF QUESTIONS IMPORTANT FOR OUR EXAMINATION POINT OF VIEW?
Asked by ABHILASHA | 05 Aug, 2019, 08:53: PM
Expert Answer
( Vectors are tyoed in Bold, i and j are unit vectors along x and y direction respectively )
Let A = a i and B = b i + c j
since A and B are vectors of equal magnitude, we have, a2 = b2 + c2 = m ....................(1)
A + B = (a+b) i + c j .....................(2)
A - B = (a-b) i - c j ...........................(3)
magnitude of ( A+B ) is n times magnitude of (A-B)
Hence (a+b)2 + c2 = n2 [ ( a-b )2 + c2 ] ........................(4)
a2 + b2 + c2 + 2ab = n2 [ a2 +b2 + c2 - 2ab ] ...................(5)
by using eqn.(1) and after simplification, eqn.(5) is written as, m(n2 -1) = ab (n2 + 1 ) ...............(6)
Angle θ between A and B ;- ........................(7)
from eqn.(6) and (7), we get cosθ = (n2 - 1) / (n2 + 1 )
Answered by Thiyagarajan K | 06 Aug, 2019, 06:57: AM
CBSE 11-science - Physics
Asked by roshnibudhrani88 | 23 Mar, 2024, 05:52: PM
ANSWERED BY EXPERT
CBSE 11-science - Physics
Asked by emad.amd | 21 Mar, 2024, 12:00: PM
ANSWERED BY EXPERT
CBSE 11-science - Physics
Asked by vinitdubey7735 | 14 Mar, 2024, 11:21: AM
ANSWERED BY EXPERT
CBSE 11-science - Physics
Asked by om636694 | 04 Mar, 2024, 09:10: PM
ANSWERED BY EXPERT
CBSE 11-science - Physics
Asked by rajuinwati12 | 04 Mar, 2024, 09:22: AM
ANSWERED BY EXPERT
CBSE 11-science - Physics
Asked by rosysahu678 | 02 Mar, 2024, 06:09: PM
ANSWERED BY EXPERT
CBSE 11-science - Physics
Asked by vaddevenkatesulu56 | 26 Feb, 2024, 09:02: PM
ANSWERED BY EXPERT
CBSE 11-science - Physics
Asked by rustampathan | 25 Feb, 2024, 06:39: PM
ANSWERED BY EXPERT