If veca=hati+hatj+hatk and vecb = hati-2hatj+hatk then find vector vecc such that veca.vecc = 2 and veca xx vecc = vecb

If veca=-hati+hatj+hatk andvecb=2hati+0hatj+hatk then find vector vecc satisfying the following conditions, (i) that it is coplaner with veca and vecb , (ii) that it is bot "to" vecb and (iii) that veca.vecc=7 .

Given veca = 2hati + hatj - 8 hatk and vecb = hati + 3hatj - 4hatk then |veca + vecb| = ……………………… .

If veca = (-hati + hatj - hatk) and vecb = (2hati- 2hatj + 2hatk) then find the unit vector in the direction of (veca + vecb) .

If the sides of an angle are given by vectors veca=hati-2hatj+2hatk and vecb=2hati+hatj+2hatk , then find the internal bisector of the angle.

If veca=hati+2hatj+3hatk and vecb=2hati+3hatj-5hatk then find axxb . Verify that veca and vecaxxvecb are perpendicular to each other.

If veca=7hati-4hatj-4hatk and vecb=-2hati-hatj+2hatk , determine vector vecc along the internal bisector of the angle between vectors veca and vecb such that |vecc|= 5sqrt6 .

If veca=2hati+3hatj+hatk, vecb=hati-2hatj+hatk and vecc=-3hati+hatj+2hatk , then [veca vecb vecc]=

If veca=-3hati-hatj+5hatk , vecb=hati-2hatj+hatK , vecc=4hatj-5hatk , find veca.(vecbxxvecc) .

If veca=hati+hatj+hatk, veca.vecb=1 and vecaxxvecb=hatj-hatk then vecb