Answer the following :
(i) Can 2 similar vectors of different magnitude yield a zero resultant? Can 3 yield?
(ii) Can `vec(a)+vec(b)=vec(a)-vec(b)`?
(iii) If `vec(a)+vec(b)=vec(c)` & `|vec(a)|+|vec(b)|=|vec(c)|`. What further information you can have about these vectors.
(iv) If `vec(a)` & `vec(b)` are two non zero vectors such that `|vec(a)+vec(b)|=|vec(a)+vec(b)|`, then what is the angle between `vec(a)` & `vec(b)`.
(v) Time has a magnitude & direction. Is it a vector?
(iv) When will `vec(a)xxvec(b)=vec(a).vec(b)`?
(vii) Does the unit vectors `vec(i), vec(j)` & `vec(k)` have units?

Answer

(i) No, yes (ii) yes (iii) vectors are collinear (iv) `90^(@)` (v) no (vi) never (vii) no