What is the value of x of the vectors `3overset^i-7overset^j-4overset^k,3overset^i-2overset^j+overset^k` and `overset^i+overset^j+xoverset^k`

Show that the vectors 3overset^i-4overset^j-4overset^k,2overset^i-overset^j+overset^k and overset^i-3overset^j-5overset^k from a right angled tringle.

Show that the vectors overset^i+overset^j-2overset^k,overset^i-2overset^j+overset^k and 2overset^i-overset^j-overset^k are the sides of an equilateral triangle.

What is the angle between the vectors oversetrarra=overset^i+overset^j+overset^k and oversetrarrb=2overset^i-overset^j+overset^k

What is the scalar product of the vectors oversetrarra=2overset^i+overset^j+2overset^k and oversetrarrb=overset^i-2overset^j+overset^k

What is the scalar projection of the vector oversetrarra=overset^i+overset^j+overset^k on oversetrarrb=2overset^i+2overset^j-overset^k

What is the unit vector perpendlcular to each of the vectors overset^i+overset^j,overset^j+overset^k ?

What is the vector projection (component) of the vector oversetrarra=2overset^i+overset^j-overset^k on oversetrarrb=overset^i+2overset^j+overset^k

Find the angle between the line oversettor=(overset^i+2overset^j-overset^k)+lambda(overset^i-overset^j+overset^k) and the plane oversettor(2overset^i-overset^j+overset^k)=4

Write the unit vectors parallel to the vector 3overset^i+overset^j-2overset^k .

Find the vector of magniltude 5 units and parallel to the resultant of the vectors oversetrarra=2overset^i+3overset^j-overset^k and oversetrarrb=overset^i-2overset^j+overset^k then find the angle between oversetrarra+oversetrarrb and oversetrarra-oversetrarrb .