If `vec A + vec B = vec A -vec B` , then `vec B` is a

Choose the correct statement (A) If vec A+vec B=vec A-vec B then vec B is a null vector (B) If |vec A+vec B|=|vec A-vec B| then vec A and vec B are perpendicular vectors (c) Both of the above (D) None of the above

For tow vectros vec A and vec B | vec A + vec B| = | vec A- vec B| is always true when.

Establish the following inequalities geometrically or otherwise , (a) | vec A + vec B| -lt | vec A | + |vec B| , | vec A + vec B| gt- ||vec A- | vec B|| (C ) | vec A- vec B| -lt | vec A| + vec B| (d) | vec A- vec B| gt- || vec A| - | vec B|| When does the equality sign above aplly ?

If vec p = vec a + vec b, vec q = vec a-vec b | vec a | = | vec b | = 1 then | vec p xxvec q | =

For any three non-zero vectors vec a, vec b and vec c if | (vec a xxvec b) * vec c | = | vec a || vec b || vec c | then vec a * vec b + vec b * vec c + vec c * vec a =

Statement 1: If |vec a+vec b|=|vec a-vec b|, then vec a and vec b are perpendicular to each other. Statement 2: If the diagonal of a parallelogram are equal magnitude,then the parallelogram is a rectangle.

For non-zero vectors vec a and vec b if |vec a+vec b|<|vec a-vec b|, then vec a and vec b are

If vec a = vec i + vec j + vec k, vec b = vec i - vec j + vec k and vec c = vec i + 2vec j - vec k, then the value of | [vec a.vec a, vec a.vec b, vec a.vec c], [vec b.vec a, vec b.vec b, vec b.vec c], [vec c.vec a, vec c.vec b, vec c.vec c ] | is equal to: (1) 2 (2) 4 (3) 16 (4) 64

find | vec a |, | vec b | if (vec a + vec b) * (vec a-vec b) = 8 and | vec a | = 8 | vec b |

Consider Delta ABC with A = (vec a); B = ([vec bvec b]) and C = (vec c). If vec b * (vec a + vec c) = vec b * vec b + vec a * vec c; | vec b-vec a | = 3; | vec c-vec b | = 4 then the angle between the medians Avec M and Bvec D is