Find the angle between two vectors`oversetrarra"and"oversetrarrb` with magnitudes `sqrt3"and"2` respectively having`oversetrarra.oversetrarrb=sqrt6`.

Find the angle between two vectors veca and vecb with magnitudes 1 and 2 respectively and when veca . vecb=1

Choose the correct answer from the bracket.The angle between the vectors veca and vecb with magnitude 1 and 2 respectively having veca.vecb=sqrt3 a) pi/3 b) pi/4 c) pi/6 d) pi/2

Find |oversetrarra-oversetrarrb| if two vectors " " oversetrarra" and "oversetrarrb are such that |oversetrarra|=2, " " |oversetrarrb|=3" and "oversetrarra.oversetrarrb=4

Consider the vectors oversetrarra=2overset^^i+3overset^^j+moverset^^k " and " oversetrarrb=3overset^^i +2 overset^^j -3overset^^k Find the value of m for which oversetrarra "and"oversetrarrb are perpendicular. In such a case verify that (oversetrarra+oversetrarrb)^2=|oversetrarra""^2|+|oversetrarrb""^2|

Find the magnitude of two vectors oversetrarra"and"oversetrarrb, having the same magitude and such that the angle between them is 60^@ and their scalar product is 1/2 .

Find the angle between the vectors " " oversetrarra=overset^^i+overset^^j-overset^^k " and "oversetrarrb=overset^^i-overset^^j+overset^^k

Consider two vectors oversetrarra "and" oversetrarrb so that |oversetrarra|=2,|oversetrarrb|=5 "and"|oversetrarraxxoversetrarrb|=8. Suppose the angle between a and b is acute. Prove that oversetrarra.oversetrarrb=6

Given |oversetrarra| =10,|oversetrarrb| =2" and "oversetrarra.oversetrarrb=12" find "|oversetrarraxxoversetrarrb|.

Find a unit vector perpendicular to each of the vectors oversetrarra+oversetrarrb" and " oversetrarra-oversetrarrb where oversetrarra =3overset^^i+2overset^^j+2overset^^k" and "oversetrarrb=overset^^i+2overset^^j-2overset^^k .