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

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 .

If oversetrarra=overset^i+2overset^j-3overset^k and oversetrarrb=3overset^i-overset^j+2overset^k then find the angle between

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 planes oversettor.(2overset^i-overset^j+2overset^k)=6 and oversettor.(3overset^i+6overset^j-2overset^k)=9

Show that the normals to the planes oversettor.(overset^i-overset^j+overset^k)=3 and oversettor.(3overset^i+2overset^j-overset^k)=0 are perpendicular to each other.

Find a unit vector perpendicualr to each of the vectors (oversetrarra+oversetrarrb) (oversetrarra-oversetrarrb) where oversetrarra=overset^i+overset^j+overset^k and oversetrarrb=2overset^i+3overset^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

Find the direction cosines of the vectors, oversetrarr(r_1)-oversetrarr(r_2) whaere oversetrarr(r_1)=overset^i+overset^j+overset^k and oversetrarr(r_2)=2overset^i+overset^j+2overset^k .