Find the values of x,y and z so that `oversetrarra =x overset^^I +y overset^^j +z overset^^k "and" oversetrarrb =overset^^I - 2 overset^^j +3 overset^^k` are equal?

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=3overset^^i +2 overset^^j -3overset^^k find oversetrarra.oversetrarrb

Find the projection of the vector oversetrarra =2overset^^i+overset^^j -3 overset^^k on the vector. oversetrarrb =-overset^^i+3overset^^j-overset^^k

Find aunit vector along the sum of the vectors oversetrarra = overset^^i-3overset^^k "and"oversetrarrb =2overset^^i+5overset^^j-3overset^^k?

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

Consider the vectors oversetrarra=overset^^i-overset^^j+overset^^k" and "oversetrarrb=2overset^^i-3overset^^j-5overset^^k : Find oversetrarraxxoversetrarrb

Compute the magnitude of oversetrarra =overset^^i+overset^^j+overset^^k ,vector

Find the values of x and y so that the vectors 2overset^^i+3overset^^j "and" xoverset^^i+yoverset^^j are equal.

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|