Find `|oversetrarraxxoversetrarrb|" if " oversetrarra=overset^^i-7overset^j+7overset^^k` and
`oversetrarrb=3overset^^i-2overset^^j +2overset^^k.`

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 .

Show that the points A,B and C with position vectors oversetrarra =3overset^^i-4overset^^j-4overset^^k," " oversetrarrb= 2overset^^i-overset^^j+overset^^k " and " oversetrarrc=overset^^i-3overset^^j-5overset^^k respectively form the vertices of a right angled triangle.

Consider oversetrarra=overset^^i+2overset^^j-3overset^^k," " oversetrarrb=3overset^^i-overset^^j+2overset^^k " and " oversetrarrc=11 overset^^i+overset^^j : Find oversetrarra+oversetrarrb" and "oversetrarra.oversetrarrb

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

Are the vectors oversetrarra =2 overset^^i -overset^^j "and"oversetrarrb =overset^^i+2overset^^j equal?

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

Find the sum of the vectors oversetrarra =overset^^i-2overset^^j+overset^^k,oversetrarrb=-2overset^^i+4overset^^j+5overset^^k " and " oversetrarrc=overset^^i-6overset^^j-7overset^^k

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

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

For given vectors " " oversetrarra=2overset^^i-overset^^j+2overset^^k " and "oversetrarrb=-overset^^i+overset^^j-overset^^k , find the unit vector in the direction of the vector oversetrarra+oversetrarrb.