Two vectors ` vec A and vec B` are added. Prove that the magitude of the resultant v ector can bot be greater than ( A +B) and smaller than (A - B) or (B -A).

Two vectors vec(A) and vec(B) are added. Prove that the magnitude of the resultant vector cannot be greater than (A+B) and smaller than (A-B) or (B-A) .

When two vector vec a and vec b are added,the magnitude of the resultant vector is always

Show that the magnitude of vector sum of vec(a) and vec(b) cannot be greater than |vec(a)| + | vec(b)| or smaller than |vec(a)|- |vec(b)|

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

Two vectors vec(A) and vec(B) have precisely equal magnitudes. For the magnitude of vec(A) + vec(B) to be larger than the magnitude of vec(A)-vec(B) by a factor of n , what must be the angle between them?

For any two vectors vec a and vec b , prove that (vec a* vec b)^ 2 le |quad vec a|^2|quad vec b|^2 .

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

if vec Ao + vec O B = vec B O + vec O C ,than prove that B is the midpoint of AC.

if vec Ao + vec O B = vec B O + vec O C ,than prove that B is the midpoint of AC.