Compute the magnitude of the following vectors. Also mention whch of these are unit vector: `hati/sqrt(3)+hatj/sqrt(3)-hatk/sqrt(3)`

Compute the magnitude of the following vectors. Also mention whch of these are unit vector: veca=hati+hatj+hatk

Compute the magnitude of the following vectors. Also mention whch of these are unit vector: vecb=2hati-7hatj-3hatk

Compute the magnitude of the following vectors: veca = hati+hatj+hatk,vecb = 3hati+hatj-4hatk,vecc= - 1/sqrt3hati-1/sqrt3hatj+1/sqrt3hatk.

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)

Write down the magnitude of each of the following vectors : (i) veca = hati + 2hatj + 5hatk , (ii) vecb = 5hati - 4hatj - 3hatk (iii) vecc = (1/(sqrt(3))hati - (1)/(sqrt(3)) hatj + 1/(sqrt(3))hatk) , (iv) vecd = (sqrt(2)hati + sqrt(3)hatj - sqrt(5) hatk)

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

The angle between the Z-axis and the vector (hati+hatj+sqrt(2)hatk) is

The direction cosines of a vector hati+hatj+ sqrt2hatk are

A ray of light is incident on the (y-z) plane mirror along a unit vector hate_(1) = (1)/(sqrt(3)) hati +(1)/(sqrt(3)) hatj +(1)/(sqrt(3))hatk . Find the unit vector along the reflected ray.

Find the unit vector in the direction of the vector veca = 2hati+2sqrt2hatj-3hatk.