Vectors
1.) A rigid body is rotating at 2.5 rad/sec about an axis AB,where A and B are the point (1,-2,1) and (3,-4,2).
Find the velocity of the particle P of the body at the point(5,-1,-1).
? ^ ^ ^ ? ^ ^ ^ ? ^ ^ ^
2.)If a=i+j-2k,ß=-i2j+3k, y=5i+0j+8k,
then determine the scalars c and d
? ? ?
such that y-ca-dß is perpendicular to
both a and ß.
?
3.)If r=a cost i +a sint j+at tan ak,then
? ?
find values of |(dr/dt)*(d²r/dt²)|
? ? ?
and(dr/dt)*(d²r/dt²)*(d^3r/dt^3).
4.)Find the equations of the tangent plane and normol line to the surface xyz=4 at the point i+2j+2k.
5.)prove that (?*B dv= (n*B ds.
v s
