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

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

A ball is projected from the top of a tower with a velocity 3hati+4hatj+5hatk ms^(-1) ,where hati+hatj+hatk are unit vectors along east, north and vertical upwards respectively. If the height of the tower is 30 m , its range is (g=10 ms^(-1))

A ball is projected from the top of a tower with a velocity 3hati+4hatj+5hatk ms^(-1) ,where hati+hatj+hatk are unit vectors along east, north and vertical upwards respectively. If the height of the tower is 30 m , its time is (g=10ms^(-1))

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

Let vecV = 2hati +hatj - hatk and vecW= hati + 3hatk . if vecU is a unit vector, then the maximum value of the scalar triple product [ vecU vecV vecW] is

Let vecV = 2hati +hatj - hatk and vecW= hati + 3hatk . if vecU is a unit vector, then the maximum value of the scalar triple product [ vecU vecV vecW] is

Let vecv = 2hati + 2hatj - hatk and vecw = hati + 3hatk. If vecu is a unit vector, then the maximum value of the scalar triple product [vecu vecv vecw] is :

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