Question

the vector a and b are such the vector vector a +vector b=vector a - vector b find the angle between vector a and b
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Answer 1

Answer:

The vector A and B are such that (vector A+ vector B) = (vector A - vector B). The angle between vectorA and VectorB is?

Answer

9

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:

It would be humble if you mark my answer as the brainliest answer either way hope this helps you.