Physics/Math

posted by .

Given two vectors, a and b, such that a + b = a - b, find the magnitude of b.

Consider the equation
a + b = a - b
to be n vector notation and both a and b have components. Subtract the a vector from both sides. You are left with
b = -b
That can only be true if b = 0. That would make its magnitude also zero.

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Physics

    Given Vector A with magintude 9.17 feet and Vector B with magnitude of 10.58 feet, what is the resultant of the two vectors added together?
  2. physics-vectors

    If the magnitude of the sum of two vectors is greater than the magnitude of either vector, then: If the magnitude of the sum of two vectors is less than the magnitude of either vector, then: a. the scaler product of the vectors must …
  3. PHYSICS VECTORS

    1. The problem statement, all variables and given/known data Find the vector product of Vector A cross Vector B(expressed in unit vectors) of the two vectors. What is the magnitude of the vector product?
  4. Math - Equations of plane(check)

    Consider the plane that contains points A(2,3,1), B(-11,1,2), C(-7,-3,-6). a) Find two vectors that are parallel to the plane. Ans: AC, BC or AB will be parallel to the plane. b) Find two vectors that are perpendicular to the plane. …
  5. Math - Equations of plane(check)

    Consider the plane that contains points A(2,3,1), B(-11,1,2), C(-7,-3,-6). a) Find two vectors that are parallel to the plane. Ans: AC, BC or AB will be parallel to the plane. b) Find two vectors that are perpendicular to the plane. …
  6. physics

    Vector A is given by A = c x + 6 y, and vector B is given by B = 4.8 x - 16.2 y, where x and y are the x and y unit vectors. What does c need to be such that these two vectors are perpendicular?
  7. maths

    Given that vector c and vector d are non zero vectors such that vector c =x1i + y1j + z1k and vector d =(y1z2-y2z1)+(x1y2 -x2y1)show that the two vectors are perpendicular.
  8. physics

    Given: vector a+b+c= 0. Out of the three vectors a,b and c two are equal in magnitude. The magnitude of the third vector is √2 times that of either of the two having equal magnitude. The angles between the vectors are:
  9. physics

    Consider two vectors ~ A and ~ B and their re- sultant ~ A + ~ B . The magnitudes of the vectors ~ A and ~ B are, respectively, 13 . 2 and 6 . 1 and they act at 110 ◦ to each other.Find the magnitude of the resultant vector ~ …
  10. Math/Physics

    Given the following vectors, where Vector A is 6.3 meters and Vector B is 3.5 meters, determine the magnitude of the following vector sums: A+B, A-B, B-A I tried to do magnitude such as A+B = square root (6.3)^2+(3.5)^2 = 7.2 then …

More Similar Questions