If the vectors `3 vec p+ vec q ;5p-3 vec qa n d2 vec p+ vec q ;4 vec p-2 vec q` are pairs of mutually perpendicular vectors, then find the angle between vectors ` vec pa n d vec qdot`

If the vectors 3vec p+vec q;5p-3vec q and 2vec p+vec q;4vec p-2vec q are pairs of mutually perpendicular vectors, then find the angle between vectors vec p and vec q

If the vectors 3vec p+vec q;5vec p-3vec q and 2vec p+vec q;4vec p-2vec q are pairs of mutually perpendicular then sin(vec p^^vec q) is:

If the vectors 3 vec p + vec q ; 5 vec p - 3 vecq and 2 vec p + vec q ; 4 vec p - 2 vec q are pairs of mutually perpendicular then sin( vec p , vec q) is :

If the vectors 3 vec p + vec q ; 5 vec p - 3 vecq and 2 vec p + vec q ; 4 vec p - 2 vec q are pairs of mutually perpendicular then sin( vec p , vec q) is :

Two vectors vec P and vec Q

For three vectors vec p,vec q and vec r if vec r=3vec p+4vec q and 2vec r=vec p-3vec q then

Let vec pa n d vec q be any two orthogonal vectors of equal magnitude 4 each. Let vec a , vec b ,a n d vec c be any three vectors of lengths 7sqrt(15)a n d2sqrt(33), mutually perpendicular to each other. Then find the distance of the vector ( vec adot vec p) vec p+( vec adot vec q) vec q+( vec adot( vec pxx vec q))( vec pxx vec q)+( vec bdot vec p) vec p( vec bdot vec q) vec q+( vec bdot( vec pxx vec q))( vec pxx vec q)+( vec cdot vec p) vec p+( vec cdot vec q) vec q+( vec cdot( vec pxx vec q))( vec pxx vec q) from the origin.

If vec r=3vec p+4vec q and 2vec r=vec p-3vec q then

The resultant vec(P) and vec(Q) is perpendicular to vec(P) . What is the angle between vec(P) and vec(Q) ?

The resultant vec(P) and vec(Q) is perpendicular to vec(P) . What is the angle between vec(P) and vec(Q) ?