two vectors A vector and B vectors are such that vectors A-vectorB and a-b =c . find the angle between them
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The vector A and B are such that (vector A+ vector B) = (vector A - vector B). The angle between vectorA and VectorB is?
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17 Answers
Utkarsh Gaikwad, works at KPIT Technologies (2016-present)
Answered 2 years ago · Author has 62 answers and 113.5K answer views
The vector A and B are such that (vector A+ vector B) = (vector A - vector B). The angle between vectorA and VectorB is?
Let
A = a1 i + a2 j
B = b1 i + b2 j
We know A + B =A -B
substituting values of A & B in above equation we get
a1 i +a2 j +b1 i + b2 j =a1 i + a2 j -b1 i -b2 j
(a1+b1)i + (a2+ b2) j = (a1-b1)i +(a2-b2) j ….(I)
comparing i coeffecients of Equation (I) we get
a1+b1 = a1-b1 therefore b1 =0 is only solution for this.
similarly comparing j coefficients we get
a2+b2 = a2-b2 here also we get b2 = 0
hence B is a Zero Vector (B = 0).
Zero vector does not have a specific direction .
Hence Angle between above type of vectors is Indeterminable (Cannot be defined can be 0 degrees , 120 degrees 1.2453 degrees as zero vector does not have any specific angle)
Explanation:
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