Given that `oversetrarra.oversetrarrb=0"and"oversetrarraxxoversetrarrb=oversetrarr0`.What can you conclude about the vectors `oversetrarra" and "oversetrarrb.`

Show that (oversetrarra-oversetrarrb) xx(oversetrarra+oversetrarrb)=2(oversetrarraxxoversetrarrb)

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|.

If oversetrarra +5 oversetrarrb=oversetrarrc"and"oversetrarra-7oversetrarrb=2oversetrarrc, then show that oversetrarra has same direction as oversetrarrc and opposite direction to oversetrarrb .

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 .

Find |oversetrarra|"and" |oversetrarrb| if (oversetrarra+oversetrarrb).(oversetrarra-oversetrarrb) =8 " and " |oversetrarra| = 8 |oversetrarrb|

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

If oversetrarra"and"oversetrarrb are two collinear vectors, then which of the following are incorrect: a) oversetrarrb =oversetrarra lambdascalar"lambda b) oversetrarra = +-oversetrarrb c)The respective components of oversetrarra "and "oversetrarrb are proportional d)Both oversetrarra"and" oversetrarrb have same direction, but different magnitude.

Consider the vectors " "oversetrarra=2overset^^i-3overset^^j+overset^^k" and "oversetrarrb = overset^^i+overset^^j-2overset^^k .Find the angle between oversetrarra " and "oversetrarrb