Compute the magnitude of the following vectors. Also mention whether it is a unit vector: `hati/sqrt(3)+hatj/sqrt(3)-hatk/sqrt(3)`

Compute the magnitude of the following vectors. Also mention whether it is a unit vector: veca=hati+hatj+hatk

Compute the magnitude of the following vectors. Also mention whether it is a unit vector: vecb=2hati-7hatj-3hatk

Compute the magnitude of the vector 1/sqrt2hati+1/2hatj+1/2hatk

If the magnitude of the projection vector of the vector alphahati+betahatj on sqrt(3) hati+hatj is sqrt(3) and if alpha=2+sqrt(3)beta then possible value (s) of |alpha| is /are

The direction cosines of a vector hati+hatj+sqrt(2) hatk are:-

The magnitude of the vector 6hati+2hatj+3hatk

If R^2 if the magnitude of the projection vector of the vecrtor alphahati+betahatj on sqrt(3) hati+hatj is sqrt(3) and if alpha=2+sqrt(3)beta then possible value (s) of |alpha| is /are

Find the unit vector of 4hati-3hatj+hatk.

If the work done by a force vecF=hati+hatj-8hatk along a givne vector in the xy-plane is 8 units and the magnitude of the given vector is 4sqrt(3) then the given vector is represented as (A) (4+2sqrt(2))hati+(4-2sqrt(2))hatj (B) (4hati+3sqrt(2)hatj) (C) (4sqrt(2)hati+4hatj) (D) (4+2sqrt(2))(hati+hatj)

A light ray is reflected by a mirror . If unit vectors along the incident and normal direction are hati=1/sqrt3hati-1/sqrt3hatj+1/sqrt3hatk and hatN=hati , then unit vector hatR along reflected direction is