If ` vec a , vec b` are any two vectors, then give the geometrical interpretation of g relation `| vec a+ vec b|=| vec a- vec b|`

If vec a,vec b are any two vectors,then give the geometrical interpretation of g relation |vec a+vec b|=|vec a-vec b|

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

Show that (vec a-vec b)xx(vec a+vec b)=2vec a xxvec b and given a geometrical interpretation of it.

If vec a and vec b are two vectors such that (vec a+vec b)vec a-vec b=0 find the relation between the magnitudes of vec a and vec b

vec a, vec b, vec c, dare any four vectors then (vec a xxvec b) xx (vec c xxvec d) is a vector Perpendicular to vec a, vec b, vec c, vec d

For any two vectors vec a and vec b prove that | vec a + vec b | <= | vec a | + | vec b |

For any two vectors vec a, vec b | vec a * vec b | <= | vec a || vec b |

If vec a and vec b are two vectors such that |vec a+vec b|=|vec a|, then prove that vector 2vec a+vec b is perpendicular to vector vec b

For any vector vec a and vec b prove that |vec a+vec b|<=|vec a|+|vec b|

If vec a and vec b are orthogonal unit vectors, then for a vector vec r noncoplanar with vec a and vec b , vector rxxa is equal to a. [ vec r vec a vec b] vec b-( vec r. vec b)( vec bxx vec a) b. [ vec r vec a vec b]( vec a+ vec b) c. [ vec r vec a vec b] vec a-( vec r. vec a) vec axx vec b d. none of these