Establish the following vector inequalities geometrically or otherwise: `|vec a+ vec b|ge |vec a| -|vec b|`. When does the equality sign above apply?

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 ?

Establish the following vector in equalities: (i) |vec(a)-vec(b)| le |vec(a)| +|vec(b)| (ii) |vec(a) -vec(b)| ge |vec(a)| - |vec(b)| What does the equality sign apply ?

When does |vec(a)+vec(b)|=|vec(a)|+|vec(b)| hold?

If |vec(a)+vec(b)|ge|vec(a)-vec(b)| then angle between vec(a) and vec(b) may be

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

Consider the following inequalities in respect of vector vec(a) and vec(b) 1. |vec(a) + vec(b)| le |vec(a)| + |vec(b)| 2. |vec(a) - vec(b)| ge |vec(a)|- |vec(b)| Which of the above is/are correct?

For any two vectors vec a and vec b write when |vec a+vec b|=|vec a-vec b| holds.

The inequality |vec(a).vec(b)|le |vec(a)||vec(b)| is called :

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 and vec b are vectors of equal magnitude, write the value of (vec a+vec b)vec a-vec b