If `vecu=ahati+bhatj+chatk` with `hati,hatj,hatk`are in east, north and vertical directions, horizontal component of velocity of projectile is

If vecu=ahati+bhatj+chatk with hati,hatj,hatk are in east, north and vertical directions, the maximum height of the projectileis

The initial velocity of a projectile is (hati+2hatj)m//s , where hati and hatj are unit vectors along the horizontal and vertical directions respectively. Find out the locus of the projectile , taking g=10 m//s^2 .

Two vectors P=2hati+bhatj+2hatk and Q=hati+hatj+hatk will be parallel if

The vectors 2hati+hatj-4hatk and ahati+bhatj+chatk are perpendicular, if

The vectors 2hati+hatj-4hatk and ahati+bhatj+chatk are perpendicular, if

The vectors 2hati + 3hatj -4hatk and ahati+bhatj+chatk are perpendicular when :

If a.hati=4 then (axx hatj).(2hatj-3hatk) is equal to