Show that `(vec a +vec b).(vec a -vec b)=0 <=> |vec a| =|vec b|`

For any tow vectors a\ a n d\ b show that ( vec a+ vec b) ( vec a- vec b)=0 if | vec a|=| vec b|dot

For any two vectors vec a and hat b, show that (vec a+vec b)*(vec a-vec b)=0hat harr|vec a|=|vec b|

For any tow vectors a and b show that (vec a+vec b)vec a-vec b=0hArr|vec a|=|vec b|

For any two vectors vec a and vec b , show that : ( vec a+ vec b)dot( vec a- vec b)=0, when | vec a|=| vec b|dot

Prove that (vec a+vec b)*(vec a+vec b)=|vec a|^(2)+|vec b|^(2) and only if vec a,vec b are perpendicular,given vec a!=vec 0,vec b!=vec 0

If vec a, vec b, vec c are three vectors such that vec a . (vec b + vec c) + vec b . (vec c + vec a) + vec c . (vec a + vec b) = 0 and |vec a| = 1, |vec b | = 4, |vec c| = 8 , then |vec a + vec b + vec c| =

Show that vec a × (vec b+vec c) + vec b × (vec c+vec a) + vec c × (vec a+vec b) = 0

For any three vectors vec a, vec b , vec c , show that vec a xx (vec b + vec c) + vec b xx (vec c + vec a) + vec c xx (vec a + vec b) = 0

If vectors vec a , vec b ,a n d vec c are coplanar, show that | vec a vec b vec c vec adot vec a vec adot vec b vec adot vec c vec bdot vec a vec bdot vec b vec bdot vec c|=0

If vec a , vec b are two vectors, then write the truth value of the following statements: vec a=- vec b| vec a|=| vec b| | vec a|=| vec b| vec a=+- vec b | vec a|=| vec b| vec a= vec b