" If "|vec a+vec b|=vec a-vec b|" ,then the vectors "vec a" and "vec b" are "

Incase of each of the following statements, state whether it is true or false : If |vec a+ vec b| =|vec a- vec b| then the vectors vec a and vec b are orthogonal.

If |vec a+vec b|=|vec a-vec b|, show that the vectors vec a and vec b are perpendicular to each other.

If vec a and vec b are vectors such that |vec a + vec b| = |vec a - vec b| , then the angle between vec a and vec b is

If vec a and vec b are two vectors, such that vec a.vec b <0 and | vec a.vec b|=| vec axx vec b|, then the angle between vectors vec a and vec b is a. pi b. 7pi//4 c. pi//4 d. 3pi//4

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

For the vector vec(a) and vec (b) if |vec(a) + vec(b)| = |vec(a) - vec(b)| , show that vec(a) and vec (b) are perpendicular

For non-zero vectors vec(a) and vec(b), " if " |vec(a) + vec(b)| lt |vec(a) - vec(b)| , then vec(a) and vec(b) are-

If vec(a).vec(b)=|vec(a)xx vec(b)| , then angle between vector vec(a) and vector vec(b) is :

Let vec a, vec b, vec b, vec b are three vectors such that vec a * vec a = vec b * vec b = vec c * vec c = 3 and | vec a-vec b | ^ (2) + | vec b-vec c | ^ (2) + | vec c-vec a | ^ (2) = 27 then